Question 1149673
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For any triangle, its area is half the product the perimeter and the radius of the inscribed circle.


See the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Surface-area/Proof-of-the-formula-for-the-area-of-a-triangle-via-the-radius-of-the-inscribed-circle.lesson>Proof of the formula for the area of a triangle via the radius of the inscribed circle</A>  

in this site.


In your case, the area of the triangle ABC is


    area = {{{(1/2)*41*4}}} = 82 square centimeters.
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