Question

Find the area of the triangle if the perimeter .
of the triangle is 32cm and the sides of the
triangle are 8 cm, 11cm 13 cm​

Answer 1

Perimeter of triangle, P = 32cm

Sides a = 8cm, b = 11cm and C = 13cm

Semiperimeter of triangle, p = P/2 = 16

Using heron's formula

$Area \: of \: triangle, A = \sqrt{p \times (p - a) \times (p - b) \times (p - c)} \\ = \sqrt{16 \times (16 - 8) \times (16 - 11) \times (16 - 13)} \\ = \sqrt{16 \times 8 \times 5 \times 3} \\ = \sqrt{16 \times 4 \times 30} \\ = 8 \sqrt{30} = 43.82$