Answer to Question #191651 in Algebra for Mark

Question

What is the diameter of the circle circumscribing an isosceles right triangle having an area of 126 sq.cm?

Answer 1

Ans:- Given that an isosceles right triangle having an area of 126 sq.cm.

$\Rightarrow$ Area of right angled isosceles triangle $=\dfrac{1}{2}\times a\times a=126\to a=15.87cm$

From Pythagorean Theorem , $c^2=a^2+b^2 \to c^2=2a^2$ ($a=b$ because of isosceles triangle )

$c=1.414\times a \to c=1.414\times15.87=22.443cm$

So, diameter of circle $=22.443cm$