Question

Find the area of the largest isosceles triangle that can be inscribed in a circle of radius r

Answer 1

(3/4)(√3)r²

Explanation:

The largest such triangle is an equilateral triangle. It will have a side length of r√3. The area can be found a number of ways, one of which is to use the formula for the area of an equilateral triangle of side length s:

A = s²·(√3)/4

Using s=r√3, we get ...

A = (3/4)(√3)r²