Question

In the given figure, $AE \parallel DC$. If $BE = 1400	ext{ cm}, BD = 700	ext{ cm}, AB = 1800	ext{ cm}$ and $CD = 800	ext{ cm}$, then the length of AE is :

Accepted Answer

D. Since $AE \parallel CD$, $	riangle ABE \sim 	riangle CBD$ by AA similarity criterion. $$\frac{AE}{CD} = \frac{BE}{BD} \implies \frac{AE}{800} = \frac{1400}{700} = 2 \implies AE = 1600	ext{ cm}$$

Similar triangles length calculation

Explanation

Practise this under board exam conditions