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Sides of a triangle are in the ratio of ...

Sides of a triangle are in the ratio of `12 : 17 : 25` and its perimeter is 540`` cm. Find its area.

Text Solution

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Let the sides of the triangle be `12x,17x `and `25x`
perimeter of triangle=`540=12x+17x+25x=54x`
=> `x=10`
The sides of the triangle are 120 cm,170cm and250cm.
Area of triangle=`sqrt(s(s-a)(s-b)(s-c))` where `s` is the semi perimeter and a,b,c are the sides of the triangle.
substituting values=>`sqrt(270(150)(100)(20))=9000(cm)^2`
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