Question

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

Answer 1

Perimeter, P = 32cm

Semi-perimeter of triangle, p = P/2 = 16cm

Sides of triangle,

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

Using Heron's formula

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