Question

The semi perimeter of a triangle is 132cm and
the product of the differences of semi perimeter
and its respective sides ( in cm ) is 13200. Find
the area of triangle​

Answer 1

Answer:

1320cm^2

Step-by-step explanation:

Let the sides of the triangle be a, b and c.

Given that Semi-perimeter = s = 132cm.

Also, a product of the difference of semi-perimeter and its respective sides are 13200 cm2.

i.e. s(s – a)(s – b)(s – c) = 13200

∴ we know by Heron’s formula.

Area of a triangle with sides a, b, c, and semi-perimeter s is given by

=  

Substituting s and  in above equthe ation we get

=  

= 1320 cm2

∴ The area of a triangle is 1320cm2.

Answer 2

Step-by-step explanation:

area of triangle=√s(s-a)(s-b)(s-c).

s=132. (s-a)(s-b)(s-c)=13200.

area=√132*132*100

=√132^2*10^2

=1320.