Question

Find the area of a.qualdrilateral ABCD in which AD= 24cm, angle BAD = 90° and BCD forms an equilateral triangle whose each sides is equal to 26 cm.

Answer 1

We need to find area of ABCD

In triangle BAD, we have

BD2 = BA2 + AD2 .So



Area of right angled triangle ABD, say A1is given by



Where,

Base = BA = 10 cm; Height = AD = 24 cm



Area of equilateral triangle BCD, say A2having sides a, b, c is given by

, where

a = BC = CD = BD = 26 cm



Area of quadrilateral ABCD, say A

A = Area of triangle BAD + Area of triangle BCD