10th Class Mathematics Triangles Question Bank

done Case Based MCQs - Triangles Total Questions - 30

• question_answer1)

  Directions: Q. 1 to 5

  Vijay is trying to find the average height of a tower near his house.

  He is using the properties of similar triangles. The height of Vijay's house, if 20 m when Vijay's house casts a shadow 10m long on the ground.

  At the same time, the tower casts a shadow 50 m long on the ground and the house of Ajay casts 20 m shadow on the ground.

  Based on the above information, answer the following questions

  What is the height of the tower?
  A)
  20m done clear
  B)
  50m done clear
  C)
  100m done clear
  D)
  200m done clear
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• question_answer2)
  What will be the length of the shadow of the tower when Vijay's house casts a shadow of 12 m?
  A)
  75m done clear
  B)
  50m done clear
  C)
  45m done clear
  D)
  60 done clear
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• question_answer3)
  What is the height of Ajay's house?
  A)
  30m done clear
  B)
  40m done clear
  C)
  50m done clear
  D)
  20m done clear
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• question_answer4)
  When the tower casts a shadow of 40 m, same time what will be the length of the shadow of Ajay's house?
  A)
  16m done clear
  B)
  32m done clear
  C)
  20m done clear
  D)
  8m done clear
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• question_answer5)
  When the tower casts a shadow of 40 m, same time what will be the length of the shadow of Vijay's house?
  A)
  15m done clear
  B)
  32m done clear
  C)
  16m done clear
  D)
  8m done clear
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• question_answer6)
   

  Directions: Q. 6 to 10

  Aashi wants to make a toran for Home using some pieces of cardboard. She cuts some cardboard pieces as shown below. If perimeter of \[\Delta ADE\] and \[\Delta BCE\] are in the ratio 4:3, then answer the following questions.

  Based on the above information, answer the following questions

  If the two triangles here are similar by SAS similarity rule, then their corresponding proportional sides are
  A)
  \[\frac{AE}{CE}=\frac{DE}{BE}\] done clear
  B)
  \[\frac{BE}{AE}=\frac{CE}{DE}\] done clear
  C)
  \[\frac{AD}{CE}=\frac{BE}{DE}\] done clear
  D)
  None of these done clear
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• question_answer7)
  Length of BC =
  A)
  20/3 cm done clear
  B)
  4 cm done clear
  C)
  5cm done clear
  D)
  None of these done clear
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• question_answer8)
  Length of AD =
  A)
  10/3cm done clear
  B)
  9/4cm done clear
  C)
  5/3cm done clear
  D)
  20/3cm done clear
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• question_answer9)
  Length of ED =
  A)
  4/3 cm done clear
  B)
  8/3 cm done clear
  C)
  7/3 cm done clear
  D)
  16/3 cm done clear
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• question_answer10)
  Length of AE =
  A)
  \[\frac{2}{3}\times BE\] done clear
  B)
  \[\sqrt{A{{D}^{2}}-D{{E}^{2}}}\] done clear
  C)
  \[\frac{4}{3}\times \sqrt{B{{C}^{2}}-C{{E}^{2}}}\] done clear
  D)
  AII of these done clear
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• question_answer11)
   

  Directions: Q. 11 to 15

  Rohan wants to measure the distance of a pond during the visit to his native. He marks points A and B on the opposite edges of a pond as shown in the figure below. To find the distance between the points, he makes a right-angled triangle using rope connecting B with another point C are a distance of 12 m, connecting C to point D at a distance of 40 m from point C and the connecting D to the point A which at distance of 30 m from D such that \[\angle ADC=90{}^\circ \].

  Based on the above information, answer the following questions

  (i) Which property of geometry will be used to find the distance AC ?

  A)
  Similarity of triangles done clear
  B)
  Thales Theorem done clear
  C)
  Pythagoras Theorem done clear
  D)
  Area of similar triangles done clear
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• question_answer12)
  What is the distance AC ?
  A)
  50m done clear
  B)
  12m done clear
  C)
  100m done clear
  D)
  70m done clear
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• question_answer13)
  Which is the following does not form a Pythagoras triplet?
  A)
  (7, 24, 25) done clear
  B)
  (15, 8, 17) done clear
  C)
  (5, 12, 13) done clear
  D)
  (21, 20, 28) done clear
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• question_answer14)
  Find the length AS?
  A)
  12m done clear
  B)
  38m done clear
  C)
  50m done clear
  D)
  100m done clear
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• question_answer15)
  Find the length of the rope used.
  A)
  120m done clear
  B)
  70m done clear
  C)
  82m done clear
  D)
  22m done clear
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• question_answer16)
                                               

  Directions: Q. 16 to 20

  D.M of a district went to town Noida from city Delhi. There is a route via town Ghaziabad such that \[NG\bot GD\], NG = x km and GD = (x + 7) km. He noticed that there is proposal to construct a 17 km highway which directly connects the two towns Noida and Delhi.

  Based on the above information, answer the following questions.

  (i) Which concept can be used to get the value of x

  A)
  Thales theorem done clear
  B)
  Pythagoras theorem done clear
  C)
  Converse of thales theorem done clear
  D)
  Converse of Pythagoras theorem done clear
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• question_answer17)
  The value of x is
  A)
  4 done clear
  B)
  6 done clear
  C)
  5 done clear
  D)
  8 done clear
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• question_answer18)
  The value of NG is
  A)
  10 km done clear
  B)
  20km done clear
  C)
  8km done clear
  D)
  25km done clear
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• question_answer19)
  The value of GD is
  A)
  12km done clear
  B)
  24km done clear
  C)
  16km done clear
  D)
  15km done clear
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• question_answer20)
  How much distance will be saved in reaching city Delhi after the construction of highway?
  A)
  6km done clear
  B)
  9km done clear
  C)
  4km done clear
  D)
  8km done clear
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• question_answer21)
   

  Directions: Q. 21 to 25

  A scale drawing of an object is the same shape at the object but a different size.

  The scale of a drawing is a comparison of the length used on a drawing to the length it represents. The scale is written as a ratio. The ratio of two corresponding sides in similar figures is called the scale fact

  Scale factor = length in image/ corresponding length in object

  If one shape can become another using revising, then the shapes are similar.

  Hence, two shapes are similar when one can become the other after a resize, flip, slide or turn. In the photograph below showing the side view of a train engine. Scale factor is 1 : 200.

  This means that a length of 1 cm on the photograph above corresponds to a length of 200 cm or 2 m, of the actual engine. The scale can also be written as the ratio of two lengths.

  Based on the above information, answer the following questions

  If the length of the model is 11 cm, then the overall length of the engine in the photograph above, including the couplings (mechanism used to connect) is
  A)
  22 cm done clear
  B)
  220cm done clear
  C)
  220m done clear
  D)
  22m done clear
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• question_answer22)
  What will affect the similarity of any two polygons?
  A)
  They are flipped horizontally done clear
  B)
  They are dilated by a scale factor done clear
  C)
  They are translated down done clear
  D)
  They are not the mirror image of one another. done clear
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• question_answer23)
  What is the actual width of the door, if the width of the door in photograph is 0.35 cm?
  A)
  0.7m done clear
  B)
  0.7 cm done clear
  C)
  0.07cm done clear
  D)
  0.07m done clear
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• question_answer24)
  If two similar triangles have a scale factor 5 : 3 which statement regarding the two triangles is true?
  A)
  The ratio of their perimeters is 15 :1 done clear
  B)
  Their altitudes have a ratio 25 :15 done clear
  C)
  Their medians have a ratio 10 : 4 done clear
  D)
  Their angle bisectors have a ration : 5 done clear
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• question_answer25)
  (v) The length of AB in the given figure
  A)
  8 cm done clear
  B)
  6cm done clear
  C)
  4cm done clear
  D)
  10 cm done clear
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• question_answer26)
   

  Directions: Q. 26 to 30

  Application of Pythagoras Theorem

  A crow leaves a tree and flies due north at a speed of 600 km/h. At the same time, another crow leaves the same place and flies due west at the speed 800 km/h as shown below. After \[3\frac{1}{2}\]h both the crow reaches at point P and Q respectively.

  Based on the above information, answer the following questions.

  Distance travelled by crow towards north after \[3\frac{1}{2}\] h is.
  A)
  1800km done clear
  B)
  1500km done clear
  C)
  1400km done clear
  D)
  2100km done clear
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• question_answer27)
  Distance travelled by crow towards west after \[3\frac{1}{2}\] h is
  A)
  1600km done clear
  B)
  2800km done clear
  C)
  2250 km done clear
  D)
  2625 km done clear
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• question_answer28)
  In the given figure, \[\angle POQ\] is
  A)
  \[70{}^\circ \] done clear
  B)
  \[90{}^\circ \] done clear
  C)
  \[80{}^\circ \] done clear
  D)
  \[100{}^\circ \] done clear
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• question_answer29)
  Distance between crow after \[3\frac{1}{2}\] h is
  A)
  \[450\sqrt{41}\,km\] done clear
  B)
  \[3500\,km\] done clear
  C)
  \[125\sqrt{12}\,km\] done clear
  D)
  \[472\,\sqrt{41}\,km\] done clear
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• question_answer30)
  Area of \[\Delta POQ\] is
  A)
  \[2940000k{{m}^{2}}\] done clear
  B)
  \[179000k{{m}^{2}}\] done clear
  C)
  \[186000k{{m}^{2}}\] done clear
  D)
  \[2025000k{{m}^{2}}\] done clear
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