Question:
In Fig. 2, If DE || BC, then x equals
(a) 6 cm
(b) 8 cm
(c) 10 cm
(d) 12.5 cm
Solution:
In the given figure we have DE||BC. We have to find x.
In the following given figure DE||BC, so triangle ADE and triangle ABC are similar triangle.
So we have the following relation
$\frac{B C}{D E}=\frac{A B}{A D}$
$\frac{x}{4}=\frac{3+2}{2}$
$\Rightarrow x=10$
Hence the correct option is