(i) Find the area of MBC. |
(ii) Find the area of ADEF. |
(iii) Find the ratio of area of ADEF to MSQ |
A)
(i) (ii) (iii) 8 sq. units 2 sq. units \[1:4\]
B)
(i) (ii) (iii) 6 sq. units 3 sq. units \[1:2\]
C)
(i) (ii) (iii) 4 sq. units 1 sq. units \[1:4\]
D)
(i) (ii) (iii) 3 sq. units 1 sq. units \[1:3\]
Correct Answer: C
Solution :
Given \[A(2,2),\]\[b(4,4),\]AND \[C(2,6)\] are the vertices of \[\Delta ABC\], D, E and F are mid points of AB, BC and AC respectively. (i) Area of \[\Delta ABC\] \[=\frac{1}{2}\left| [2(4-6)+4(6-2)+2(2-4)] \right.\] \[=\frac{1}{2}\left. \left| [2(-2)+4(4)+2(-2)] \right. \right|=4\,sq.\]units (ii) Area of \[\Delta DEF=\frac{1}{4}\] (Area of \[\Delta ABC\]) \[=\frac{1}{4}(4)=1sq.\,\]units (iii) Required ratio \[=\frac{1}{4}=1:4\]You need to login to perform this action.
You will be redirected in
3 sec