In Fig. 15.105, ABCD is a rectangle with sides AB = 10 cm and AD = 5 cm. Find the area of ΔEFG.

Question

In Fig. 15.105, ABCD is a rectangle with sides AB = 10 cm and AD = 5 cm. Find the area of &#x394;EFG.

Philoid · Accepted Answer

We know that,

If a triangle and a parallelogram are on the same base and between the same parallel then the angle of triangle is equal to the half of the parallelogram

So, triangle EPG and parallelogram ABCD are on the same base and between same parallels. The

We know that,

Area of parallelogram = Base * Height

Now,

Area ( = * Area of ABCD

= * AB * AD

= * 10 * 5

= 25 cm²

Hence,

Area ( is 25 cm²