10th Class Mathematics Triangles Question Bank

done Triangles Total Questions - 56

• question_answer1)
  In the figure, \[\angle \text{ABC}=\angle D\text{AC}=\text{9}0{}^\circ \], BC = 3 cm, AD = 2 cm and AB = 1 cm. What is the measure of AC + CD?
  A)
   \[\sqrt{2}(\sqrt{5}+\sqrt{7})cm\] done clear
  B)
   \[\sqrt{5}(\sqrt{2}+\sqrt{7})cm\] done clear
  C)
   \[\sqrt{2}(\sqrt{7}-\sqrt{5})cm\] done clear
  D)
   \[\sqrt{7}(\sqrt{2}+\sqrt{2})cm\] done clear
  View Solution play_arrow

• question_answer2)
  A paper is cut in the following shape. Which of the following is the correct statement?
  A)
   \[A{{E}^{2}}=A{{D}^{2}}+E{{D}^{2}}\] done clear
  B)
   \[A{{C}^{2}}=A{{D}^{2}}+D{{E}^{2}}\] done clear
  C)
   \[A{{C}^{2}}=A{{B}^{2}}+A{{D}^{2}}\] done clear
  D)
   \[A{{E}^{2}}=A{{B}^{2}}+B{{C}^{2}}\] done clear
  View Solution play_arrow

• question_answer3)
  In the given figure what is the value of \['x'\]if \[AB||CD\]?
  A)
   2 units                  done clear
  B)
   4 units done clear
  C)
   3 units                  done clear
  D)
   5 units done clear
  View Solution play_arrow

• question_answer4)
  In\[\Delta ABC\], \[DE||BC\]and\[\frac{AD}{DB}=\frac{3}{5}\]. What is the length of AE if\[AC=4.8\,cm\]?
  A)
   1.4 cm                                  done clear
  B)
   1.8 cm done clear
  C)
   2.2 cm                                  done clear
  D)
   3.6 cm done clear
  View Solution play_arrow

• question_answer5)
  ABCD is a parallelogram in which EF is drawn parallel to BC such that\[\text{AE}=(4x-3)\text{cm}\], \[\text{AF}=(8x-7)\text{cm}\],\[\text{BE}=(3x-1)\text{cm}\]and \[CF(5x-3)cm\]. What is the value of 'x'?
  A)
   1                                             done clear
  B)
   -1   done clear
  C)
   -5                                           done clear
  D)
   \[\frac{-1}{2}\] done clear
  View Solution play_arrow

• question_answer6)
  In \[\Delta ABC\], if \[\frac{AD}{DB}=\frac{AE}{EC}\]and\[\angle ADE=\angle ACB\], what type of triangle is \[\Delta ABC\]?
  A)
   Right triangle done clear
  B)
   Acute angled triangle done clear
  C)
   Isosceles triangle done clear
  D)
   Obtuse angled triangle done clear
  View Solution play_arrow

• question_answer7)
  The altitudes of two similar triangles are 4 cm and 6 cm. If the area of one triangle is\[\text{36 c}{{\text{m}}^{\text{2}}}\], what is the area of the other?
  A)
   \[\text{16}\,\text{c}{{\text{m}}^{\text{2}}}\]                                    done clear
  B)
   \[\text{36}\,\text{c}{{\text{m}}^{\text{2}}}\] done clear
  C)
   \[\text{49 c}{{\text{m}}^{\text{2}}}\]                                    done clear
  D)
   \[\text{25 c}{{\text{m}}^{\text{2}}}\] done clear
  View Solution play_arrow

• question_answer8)
  The ratio of areas of two similar triangles is 81:49. If the median of one triangle is 4.9 cm, what is the median of the other?
  A)
   4.9 cm                                  done clear
  B)
   6.3 cm done clear
  C)
   7 cm                                      done clear
  D)
   9 cm done clear
  View Solution play_arrow

• question_answer9)
  The perimeters of two similar triangles ABC and DEF are 24 cm and 32 cm respectively. If DE = 12 cm, find AB.
  A)
   9 cm                                      done clear
  B)
   35 cm done clear
  C)
   18 cm                   done clear
  D)
   28 cm done clear
  View Solution play_arrow

• question_answer10)
  BC and EF are the corresponding sides of two similar triangles ABC and DEF. If BC = 9.1 cm, EF = 6.5 cm and the perimeter of\[\Delta AEF\]is 35 cm, find the perimeter of\[\Delta \text{ABC}\].
  A)
   15 cm done clear
  B)
    49 cm done clear
  C)
   45 cm                                   done clear
  D)
   35 cm done clear
  View Solution play_arrow

• question_answer11)
  A man cycles 15 m towards east, turns right and cycles 8 m. How far is he from the starting point?
  A)
   7m                                         done clear
  B)
   17m done clear
  C)
   23m                                      done clear
  D)
   19m done clear
  View Solution play_arrow

• question_answer12)
  At what height does the tip of a 34m long ladder placed at a distance of 16 m from a wall, touch the wall?
  A)
   29 m                                     done clear
  B)
   34 m done clear
  C)
   30 m                                     done clear
  D)
   18 m done clear
  View Solution play_arrow

• question_answer13)
  At some point of time on a summer evening, an 8 m tall flag post casts a 15 m long shadow. What is the distance between the tips of the flag post and its image?
  A)
   15 m                                     done clear
  B)
   28 m done clear
  C)
   23 m                                       done clear
  D)
   17 m done clear
  View Solution play_arrow

• question_answer14)
  What is the area of a square of diagonal 12cm?
  A)
   \[\text{36}\,\text{c}{{\text{m}}^{\text{2}}}\]                                    done clear
  B)
   \[\text{9}\,\text{c}{{\text{m}}^{\text{2}}}\] done clear
  C)
   \[\text{72}\,\text{c}{{\text{m}}^{\text{2}}}\]                                    done clear
  D)
   \[\text{144 c}{{\text{m}}^{\text{2}}}\] done clear
  View Solution play_arrow

• question_answer15)
  Two 15 m strings are tied to a peg between two poles 9 m and 12 m long from their types. What is the distance between the poles?
  A)
   18 m                                     done clear
  B)
   21 m done clear
  C)
   20 m                                     done clear
  D)
   23 m done clear
  View Solution play_arrow

• question_answer16)
  The areas of two similar triangles are 81 cm2 and 49 cm2 respectively. If the altitude of the bigger triangle is 4.5 cm, find the corresponding altitude of the smaller triangle.
  A)
   3 cm                                      done clear
  B)
   2.5 cm done clear
  C)
   4 cm                                      done clear
  D)
   3.5 cm done clear
  View Solution play_arrow

• question_answer17)
  X and Y are points on the sides AB and AC respectively of\[\Delta ABC\] If AB = 5.6 cm, AX = 1.4 cm, AC = 7.2 cm, and\[\text{XY}|\,|\text{BC}\], what is the measure of AY?
  A)
   2.4 cm                                  done clear
  B)
   1.6 cm done clear
  C)
   1.8 cm                                  done clear
  D)
   3.6 cm done clear
  View Solution play_arrow

• question_answer18)
  In similar triangles \[\Delta \text{ABC}\] and \[\Delta \text{FDE}\].DE = 4 cm, BC = 8 cm and area of\[\Delta \text{FDE}=\text{25 c}{{\text{m}}^{\text{2}}}\]. What is the area of\[\Delta \text{ABC}\]?
  A)
   \[\text{144}\,\text{c}{{\text{m}}^{\text{2}}}\]                                  done clear
  B)
   \[\text{121 c}{{\text{m}}^{\text{2}}}\] done clear
  C)
   \[\text{1}00\,\text{c}{{\text{m}}^{\text{2}}}\]                                  done clear
  D)
   \[\text{81 c}{{\text{m}}^{\text{2}}}\] done clear
  View Solution play_arrow

• question_answer19)
  Given\[\frac{AO}{OC}=\frac{BO}{OD}=\frac{1}{4}\]and\[AB=8\,cm\],find \[DC\]
  A)
   10 cm                                   done clear
  B)
   32 cm done clear
  C)
   6 cm                                      done clear
  D)
   2 cm done clear
  View Solution play_arrow

• question_answer20)
  Given that \[\text{PB}\bot \text{AB}\] and \[~\text{QA}\bot \text{AB}\] PO=4 cm and\[\text{QO}=\text{7cm}\], if area of\[\Delta \text{QAO}\] is\[\text{245 c}{{\text{m}}^{\text{2}}}\], what is the area of\[\Delta \text{PBO}\]?
  A)
   \[\text{6}0\text{ c}{{\text{m}}^{\text{2}}}\]                                      done clear
  B)
   \[\text{4}0\text{ c}{{\text{m}}^{\text{2}}}\] done clear
  C)
   \[\text{125}\,\text{c}{{\text{m}}^{\text{2}}}\]                                  done clear
  D)
   \[\text{8}0\,\text{c}{{\text{m}}^{\text{2}}}\] done clear
  View Solution play_arrow

• question_answer21)
  A girl of height 90 cm is walking away from the base of a lamp post at a speed of 1.2 m/sec. If the lamp is 3.6 m above the ground, find the length of the girls shadow after 4 seconds.
  A)
   4.8m                                     done clear
  B)
   1.2m done clear
  C)
   1.6m                                     done clear
  D)
   3.6m done clear
  View Solution play_arrow

• question_answer22)
  In the given figure, PD || BC and\[\frac{AD}{DC}=\frac{CE}{BE}\]. Identify the correct statement.
  A)
   \[\text{AD}=\text{DC}\]              done clear
  B)
   \[\text{PE}|\,\,|\text{AC}\] done clear
  C)
   \[\text{PB}=\text{CE}\]               done clear
  D)
   \[\text{PD}\bot A\text{C}\] done clear
  View Solution play_arrow

• question_answer23)
  In the given figure, \[\text{AB}\bot \text{BC}\], \[\text{DE}\bot \text{AC}\] and\[\text{GF}\bot \text{BC}\]. Which of the following is correct?
  A)
   \[\angle GFC=\angle DAE\]        done clear
  B)
   \[\angle ADE\sim \angle GCF\] done clear
  C)
   \[\angle GCF=\angle ABC\]        done clear
  D)
   \[\angle \text{AED}\sim \angle \text{EGF}\] done clear
  View Solution play_arrow

• question_answer24)
  Lf \[\Delta \text{ABC}\tilde{\ }\Delta \text{DEF}\],\[\text{BC=3cm},\text{EF}=\text{4cm}\]and area of \[\Delta \text{ABC}=\text{54}\,\text{c}{{\text{m}}^{\text{2}}}\], find the area of\[\Delta \text{DEF}\].
  A)
   \[\text{96}\,{{\text{m}}^{\text{2}}}\]                                    done clear
  B)
   \[\text{16}\,\text{c}{{\text{m}}^{\text{2}}}\] done clear
  C)
   \[\text{96}\,\text{c}{{\text{m}}^{\text{2}}}\] done clear
  D)
   \[\text{69}\,\text{c}{{\text{m}}^{\text{2}}}\] done clear
  View Solution play_arrow

• question_answer25)
  In \[\Delta \text{ABC},\text{ }\angle \text{A}=\text{9}0{}^\circ \], \[\text{AN}\bot \text{BC}\], BC = 12 cm and AC = 5 cm. Find the ratio \[ar(\Delta ANC):ar(\Delta ABC)\]
  A)
   \[{{12}^{2}}:{{5}^{2}}\]                                 done clear
  B)
   \[{{3}^{2}}:{{12}^{2}}\] done clear
  C)
   \[{{5}^{2}}:{{12}^{2}}\]                                 done clear
  D)
   \[{{3}^{2}}:{{5}^{2}}\] done clear
  View Solution play_arrow

• question_answer26)
  In trapezium ABCD, \[\text{AB}||\text{CD}\]. If \[OA=x-4\], \[OB=3x-19,OC=4\] and \[OD=x-3\], find 'x'.
  A)
   10 units                               done clear
  B)
   9 units done clear
  C)
   12 units                               done clear
  D)
   8 units done clear
  View Solution play_arrow

• question_answer27)
  In the given figure, if \[\Delta \text{ABE}\cong \Delta \text{ACD}\], identify the correct statement.
  A)
   \[\Delta \text{ADE }\!\!\tilde{\ }\!\!\text{ }\Delta \text{BED}\]                 done clear
  B)
   \[\Delta \text{ABC }\!\!\tilde{\ }\!\!\text{ }\Delta \text{ADE}\] done clear
  C)
   \[\Delta \text{DEC}\tilde{\ }\Delta \text{ABC}\]               done clear
  D)
   \[\Delta \text{BDE}\tilde{\ }\Delta \text{BAE}\] done clear
  View Solution play_arrow

• question_answer28)
  In the given figure, \[\Delta \text{ABE }\!\!\tilde{\ }\!\!\text{ }\Delta \text{DCE}\]. Find the difference between\[\angle \text{ABE}\]and\[\angle ~\text{AEB}\].
  A)
   \[\text{13}0{}^\circ \]                                   done clear
  B)
   \[\text{15}{}^\circ \] done clear
  C)
   \[\text{35}{}^\circ \]                                      done clear
  D)
   \[\text{115}{}^\circ \] done clear
  View Solution play_arrow

• question_answer29)
  In \[\Delta \text{ABC},\text{ }\angle \text{B}>\text{9}0{}^\circ \]and \[\text{AD}\bot \text{CB}\] (produced). Identify the correct statement.
  A)
  \[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}+2BC.BD\] done clear
  B)
   \[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}+2BC.AB\] done clear
  C)
   \[A{{B}^{2}}=A{{C}^{2}}-B{{C}^{2}}+2BC.BD\] done clear
  D)
  \[A{{B}^{2}}=A{{C}^{2}}+B{{C}^{2}}+2BC.AC\] done clear
  View Solution play_arrow

• question_answer30)
  In the figure, \[\text{DE}|\,\,|\text{BC}\]. Find AE.
  A)
   6 cm                                      done clear
  B)
   4 cm done clear
  C)
   5 cm                                      done clear
  D)
   3 cm done clear
  View Solution play_arrow

• question_answer31)
  Two triangles BAC and BDC, right angled at A and D respectively, are drawn on the same base BC and on the same side of BC. If AC and DB intersect at P, which of the following statements is true?
  A)
   \[AP\times PC=DP\times PB\] done clear
  B)
   \[\frac{AP}{PC}=\frac{DP}{PB}\] done clear
  C)
   \[AP\times PB=DP\times PC\] done clear
  D)
   Both [b] and [c] done clear
  View Solution play_arrow

• question_answer32)
  In \[\Delta \text{ABC}\], D is a point on AB and E is a point on BC such that \[\text{DE}|\,\,|\text{AC}\] and area of \[\Delta DBE=\frac{1}{2}\] area of \[\Delta \text{ABC}\]. Find\[\frac{AD}{AB}\].
  A)
   \[\frac{1-\sqrt{2}}{2}\] done clear
  B)
   \[\frac{\sqrt{2}-1}{\sqrt{2}}\] done clear
  C)
   \[\frac{\sqrt{2}-1}{2}\]                 done clear
  D)
   \[\frac{\sqrt{2}+1}{2}\] done clear
  View Solution play_arrow

• question_answer33)
  In the given figure, \[\Delta \text{RSP }\!\!\tilde{\ }\!\!\text{ }\Delta \text{RPQ}\].Identify the true statement.
  A)
   \[\frac{RS}{RQ}=R{{p}^{2}}\]                     done clear
  B)
   \[RP\times RQ=R{{S}^{2}}\] done clear
  C)
   \[RS\times RQ=R{{P}^{2}}\]       done clear
  D)
   \[RQ\times RS=RP\] done clear
  View Solution play_arrow

• question_answer34)
  In \[\Delta \text{ABC},\angle \text{A}=\text{9}0{}^\circ \]and \[AD\pm BC.\]If AB= 5 cm, BC = a cm and AC = b cm, find the length of BD in cm.
  A)
   \[\left( \frac{{{b}^{2}}-{{a}^{2}}+25}{a} \right)\]               done clear
  B)
   \[\left( \frac{{{a}^{2}}-{{b}^{2}}+25}{2a} \right)\] done clear
  C)
   \[\left( \frac{{{a}^{2}}-{{b}^{2}}+25}{2b} \right)\]             done clear
  D)
   \[\left( \frac{{{a}^{2}}-{{b}^{2}}+25}{2a} \right)\] done clear
  View Solution play_arrow

• question_answer35)
  If \[\Delta \text{ABC}\] is an equilateral triangle of side 'a' and D is a point on BC such that BD = - BC, what is the length of AD?
  A)
   \[\sqrt{\frac{7}{3}}a\]                   done clear
  B)
   \[\frac{3}{\sqrt{7}}{{a}^{2}}\] done clear
  C)
   \[\frac{\sqrt{7}}{3}a\]                   done clear
  D)
   \[\frac{\sqrt{7}}{3}{{a}^{2}}\] done clear
  View Solution play_arrow

• question_answer36)
  In the given figure, AD -L BC, BC = a, CA = b, and AB = c. If\[BD=\frac{1}{3}CD\], what is the value of\[\text{2}{{\text{b}}^{\text{2}}}\]?
  A)
   \[{{a}^{2}}-2{{c}^{2}}\]                 done clear
  B)
   \[2{{a}^{2}}+{{c}^{2}}\] done clear
  C)
   \[{{c}^{2}}-2{{a}^{2}}\]                                 done clear
  D)
   \[2{{a}^{2}}+2{{c}^{2}}\] done clear
  View Solution play_arrow

• question_answer37)
  In the given figure, \[\Delta \text{ABC}\]is right angled at A. What is the length of AD in terms of 'b' and 'c'?
  A)
   \[\frac{AC}{\sqrt{{{b}^{2}}+{{c}^{2}}}}\]                               done clear
  B)
   \[\frac{bc}{\sqrt{{{b}^{2}}+{{c}^{2}}}}\] done clear
  C)
   \[\frac{bc}{\sqrt{{{b}^{2}}-{{c}^{2}}}}\]                 done clear
  D)
   \[\frac{bc}{\sqrt{{{c}^{2}}-{{b}^{2}}}}\] done clear
  View Solution play_arrow

• question_answer38)
  In the given figure, quad. \[~\text{ABCD}\tilde{\ }\text{quad}\] PQRS. Find the value of 'z'.
  A)
   \[5\frac{4}{6}\]                                done clear
  B)
   \[\frac{45}{4}\] done clear
  C)
   \[5\frac{5}{6}\]                                done clear
  D)
   \[\frac{35}{3}\] done clear
  View Solution play_arrow

• question_answer39)
  \[\Delta ABC\] is an isosceles triangle right- angled at B. Similar triangles ACD and ABE are constructed on sides AC and AB. Find the ratio between the areas of \[\Delta ABC\]and\[\Delta \text{ACD}\].
  A)
   1 : 2                                       done clear
  B)
   3 : 1   done clear
  C)
   1 : 3                                       done clear
  D)
   4 : 1 done clear
  View Solution play_arrow

• question_answer40)
  If\[\Delta ABC\tilde{\ }\Delta DFE,\angle A={{30}^{o}},\angle C={{50}^{o}},\]\[AB=\text{5cm},\]\[\text{AC}=\text{8cm}\] and\[~\text{DF}=\text{7}.\text{5 cm}\]. Which of the following is true?
  A)
   \[\text{DE}=\text{12cm},\text{ }\angle \text{F}=\text{5}0{}^\circ \] done clear
  B)
   \[\text{DE}=\text{12cm},\text{ }\angle \text{F}=\text{1}00{}^\circ \] done clear
  C)
   \[\text{EF}=\text{12cm},\text{ }\angle \text{D}=\text{1}00{}^\circ \] done clear
  D)
   \[\text{EF}=\text{12cm},\text{ }\angle \text{D}=\text{3}0{}^\circ \] done clear
  View Solution play_arrow

• question_answer41)
  In the given figure, AD is the bisector of\[\angle \text{BAC}\]. If AB= 10 cm, AC = 14cm and BC = 6 cm, find the length of DC.
  A)
   2 cm                                      done clear
  B)
   3.5 cm done clear
  C)
   2.5 cm                                  done clear
  D)
   4 cm done clear
  View Solution play_arrow

• question_answer42)
  In the given figure, \[\frac{AO}{OC}=\frac{BO}{OD}=\frac{1}{2}\]and AB = 5 cm. Find the value of DC.
  A)
   5 cm                      done clear
  B)
   15 cm done clear
  C)
   10 cm done clear
  D)
   8 cm done clear
  View Solution play_arrow

• question_answer43)
  In the given figure, \[\Delta \text{ABC}\]is right angled at A. DEFG is a square, BD = 12 cm and EC = 27 cm. What is the length of the side of square?
  A)
   27 cm                   done clear
  B)
   19 cm done clear
  C)
   12 cm                   done clear
  D)
   18 cm done clear
  View Solution play_arrow

• question_answer44)
  \[\Delta \text{ABC}\] is right-angled at C. If p is the length of perpendicular from C to AB and AB = c, BC = a and CA = b, which of the following is true?
  A)
   \[\text{pc}=\text{ab}\]                                done clear
  B)
   \[\text{pb}=\text{ab}\] done clear
  C)
   \[\text{pc}=\text{bc}\]                                done clear
  D)
   \[\text{pb}=\text{ac}\] done clear
  View Solution play_arrow

• question_answer45)
  \[\Delta \text{ABC}\]is right angled at C and\[AC=\sqrt{3}BC\]. What is the value of\[\angle ABC\]?
  A)
   \[\text{3}0{}^\circ \]                      done clear
  B)
   \[\text{9}0{}^\circ \]   done clear
  C)
   \[\text{6}0{}^\circ \]   done clear
  D)
   \[\text{45}{}^\circ \] done clear
  View Solution play_arrow

• question_answer46)
  In \[\Delta \text{ABC},\text{DE}|\,\,|\,\text{BC},\text{AD}=\text{6cm},\text{BD}=\text{9cm}\]and \[\text{AE}=\text{8cm}\]. Find the length of AC.
  A)
   20 cm                   done clear
  B)
   12 cm done clear
  C)
   15 cm                   done clear
  D)
   18 cm done clear
  View Solution play_arrow

• question_answer47)
  The lengths of the diagonals of a rhombus are 16 cm and 12 cm. What is the length of the side of the rhombus?
  A)
   9cm                                       done clear
  B)
   10cm done clear
  C)
   8 cm                                      done clear
  D)
   20 cm done clear
  View Solution play_arrow

• question_answer48)
  In the given figure, two line segments AC and BD intersect each other at point P, such that PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, \[\angle \text{APB}=\text{5}0{}^\circ \]and \[\angle \text{CDP}=\text{3}0{}^\circ \]. Find\[\angle \text{PBA}\].
  A)
   \[\text{7}0{}^\circ \]                                      done clear
  B)
   \[\text{8}0{}^\circ \] done clear
  C)
   \[\text{9}0{}^\circ \]                                      done clear
  D)
   \[\text{1}00{}^\circ \] done clear
  View Solution play_arrow

• question_answer49)
  If \[\Delta \text{ABC}\] and \[\Delta \text{PQR}\] are similar and \[\frac{BC}{QR}=\frac{1}{3}\], find \[\frac{ar(\Delta PQR)}{ar(\Delta BCA)}\].
  A)
   9                                             done clear
  B)
   3     done clear
  C)
   \[\frac{1}{3}\]                                                   done clear
  D)
   \[\frac{1}{9}\] done clear
  View Solution play_arrow

• question_answer50)
  Aman drives 13 km in the North West direction, turns left and drives 5 km. How far is he from the starting point?
  A)
   10 km                                   done clear
  B)
   18 km done clear
  C)
   12 km                                   done clear
  D)
   11 km done clear
  View Solution play_arrow

• question_answer51)
  Given\[xy=4\,cm\],\[\text{QR}=\text{8 cm}\]and area of \[\Delta PXY=25\,sq.cm\], what is the area of\[\Delta \text{PQR}\]?
  A)
   \[\text{49 c}{{\text{m}}^{\text{2}}}\]                                    done clear
  B)
   \[\text{81 c}{{\text{m}}^{\text{2}}}\] done clear
  C)
   \[\text{64}\,\text{c}{{\text{m}}^{\text{2}}}\]                                    done clear
  D)
   \[\text{1}00\,\text{c}{{\text{m}}^{\text{2}}}\] done clear
  View Solution play_arrow

• question_answer52)
  What is the ratio of areas of two similar triangles whose corresponding sides are in the ratio 15:19?
  A)
   \[\sqrt{15}:\sqrt{19}\]                  done clear
  B)
   15:19 done clear
  C)
   225 : 361                              done clear
  D)
   125 : 144 done clear
  View Solution play_arrow

• question_answer53)
  Identify the incorrect statement.
  A)
   A right angled triangle may have 1,1 and 2 as its sides. done clear
  B)
   \[1,2,\sqrt{3}\]are the sides of a right angled triangle. done clear
  C)
   The ratio of corresponding sides of two squares whose areas are in the ratio 4:1 is 2 :1. done clear
  D)
   17,8 and 15 are the sides of a right angled triangle. done clear
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• question_answer54)
  Points P and Q on the sides AB and AC of \[\Delta \text{ABC}\]are such that \[\text{PQ }\!\!|\!\!\text{ }\,\text{ }\!\!|\!\!\text{ BC}\], AP: PB = 2 :3 and AQ = 4 cm. What is the measure of AC?
  A)
   12 cm                                   done clear
  B)
   16 cm done clear
  C)
   10 cm                                   done clear
  D)
   15 cm done clear
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• question_answer55)
  The side of an equilateral triangle is 10 cm. What is its altitude?
  A)
   \[5\sqrt{2}cm\]                                done clear
  B)
   \[5\sqrt{3}cm\] done clear
  C)
   12cm                                    done clear
  D)
   5cm done clear
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• question_answer56)
  The diagonals of a rhombus are 16 cm and 12 cm. What is the measure of its side?
  A)
   10 cm                                   done clear
  B)
   12 cm done clear
  C)
   8 cm                                      done clear
  D)
   16 cm done clear
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