The perimeter of a triangle is 300 m. If its sides are in the ratio 3 : 5 : 7. Find the area of the triangle.
Sides of triangle are in ratio: 3 : 5 : 7
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Since the perimeter of a triangle is given by:
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Therefore sides of the triangle are:
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When a, b and c are the sides of triangle and s is the semi-perimeter, then its area is given by:
A =
where
[Heron’s Formula]
=
= 150
A = ![]()
A =
=
m2
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