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

Step-by-step 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