Question

The semi perimeter of a triangle is 132cm and the product of the differences of semi perimeter and its respective sides 13200 in cms find the area of the triangle

Answer 1

using herons formula
$\sqrt{s(s - a)(s - b)(s - c)} \\ = \sqrt{132 \times 13200 } \\ = 132 \times 10 = 1320$

Answer 2

Answer:

Perimeter of a triangle = 132 cm

⇒ (s-a) (s-b) (s-c) = 13200 cm²

∴ According to Herons Formula,

Area of triangle = √s (s-a) (s-b) (s-c)

                          = √ 132 x 13200

                          =  √ 132 x 132 x 10 x 10

                          =  132 x 10

                          = 1320 cm²