Question

Pand Q are any two points lying on the sides DC and AD respectively of a parallelogram
ABCD. Show that ar (APB) = ar (BqC).​

Answer 1

Answer:

hope it helps you.....

mark it as brainliest answer

Answer 2

Given:- P and Q are the points on the sides DC and AD of a parallelogram ABCD.

To Show :- Ar (APB) = Ar (BQC)

Proof:-

In ΔAPB and parallelogram ABCD

AB is the base and AB || CD

Ar (ΔAPB) = 1/2 Ar (ll gm ABCD) ___ (eq 1)

Similarly,

In ΔBQC and parallelogram ABCD

BC is base and BC || AD

Ar (ΔBQC) = 1/2 Ar (ll gm ABCD) ____ (eq 2)

On comparing (eq 1) and (eq 2) we get,

Ar (APB) = Ar (BQC)

Hence, proved