Question
Sat December 29, 2012 By:
 

What is the area of largest triangle inscribed in a semi circle of radius r & how to find it?

Expert Reply
Sun December 30, 2012
The largest triangle that can be inscribed in a semi circle of radius r units is 'an isoceles right triangle ' 
When we join the centre of the semicircle to the vertex of the triangle, it becomes the altitude of that triangle which is equal to the radius of the semi-circle. 
 
 
Area = 1/2 base x height 
1/2 x 2r x r 
= r^2 sq units
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