Question

$CD\perp AB$ and $AE\perp BC$. Ram and Rajat were trying to calculate the area of this triangle. Ram took AB as the base while Rajat took BC as the base.
Match the following:

a) Ram’s area 1) $\frac{1}{2}$ $\times$ AB $\times$ AE
b) Rajat's area 2) $\frac{1}{2}$ $\times$ AB $\times$ CD
3) $\frac{1}{2}$ $\times$ BC $\times$ AE
4) $\frac{1}{2}$ $\times$ BC $\times$ CD

a) ___
b) ___

Answer 1

Since Ram took base as AB, the corresponding height should be perpendicular from the opposite vertex of this side. So, for Ram, height will be CD. For Rajat's base i.e., BC, height will be AE.