Question

Find the area of a triangle whose sides are 40cm,24cm and 32cm using heron's formula​

Answer 1

Explanation:

a = 40 cm

b = 24 cm

c = 32 cm

a + b + c = 40 + 24 +32 = 96

S = a +b + c /2 = 96/2 = 48 cm

S - a = 48 - 40 = 8 cm

S - b = 48 - 24 = 24 cm

S - c = 48 - 32 =16 cm

Area = √S*(S-a) * (S-b) * (S-c)

= √ 48 * 8 * 24 * 16 = √ 6 * 8 * 8 * 6 * 2 * 2 * 4 * 4

= 6 * 8 * 2 * 4 = 384 Sq. cm