Question

The semi perimeter of a triangle is 132cm. The product of the difference of semi perimeter and it's respective side is 13200cm³. Find the area of triangle.

Answer 1

Given :-
semi-perimeter s=(a+b+c)/2
s = 132 cm and
(s-a)(s-b)(s-c) = 13200 cm²
Therefore, according to the Heron's formula,
Area of the triangle = √s(s-a)(s-b)(s-c)
Now, substituting the values, we get
Area = √132×13200
= √132×132×100
= √132×132×10×10
Area of the triangle = 132×10
Area = 1320 cm²