Question

A kite in the shape of a square with
a diagonal 32 cm and an isosceles triangle of base
8 cm and side 6 cm each is to be made of three different
shades as shown in figure . How much paper of each
shade has been used in it?​

Answer 1

We must divide the bigger triangle into two halves

Area of each triangle= 1/2× Base × Height

= 1/2 × 32 × 16 = 16× 16 = 256

Total area = 256 + 256 = 512

The are of the lower triangle can be found using heron's formula

= Altitude= 1/2 × ab (Sides) (Sin C)

After finding this altitude, add it with the area of the bigger triangle and then you get the answer.