The semi perimeter of a triangle is 132 cm and the product of the difference of semi perimeter and three respective sides in cm is 13200. Find the area of the triangle.
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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
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