Question

The base of a triangle is 48 cm and one of its equal sides is 30 cm find the area of the triangle

Answer 1

Solutions :-

Given :
a = 48 cm
b = c = 30 cm

Semi perimeter = (s) = (48 + 30 + 30)/2 = 54 cm


By heron's formula,

$Area \: \: of \: \: triangle = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ = \sqrt{54(54 - 48)(54 - 30)(54 - 30)} \\ \\ = \sqrt{54 \times 6 \times 24 \times 24} \\ \\ = \sqrt{186624} = 432$


Answer : Area of triangle = 432 cm²