Question
Fri February 13, 2009 By:

triangles

Expert Reply
Sat February 14, 2009

If r is the radius of the inscribed circle i.e. the radius of the incircle of the triangle, then there's a formula, which connects r, the area of the triangle and the perimeter of the triangle.

It say

r=area of the circle/perimeter of the circle.

Let the side of the equilateral triangle be a.

So perimeter =3a

area=

We are given that,

area of the inscribed circle is 616 sq. cm.

so ,

=616

solving we get,

r=14.

Substitute this value in the formula for area of the triangle and the perimeter.

This will give you the value of a.

So perimeter=3a.

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