Question

Find the value of $\frac{a^2{b}^2{c}^2}{R^2}$ in a right angled triangle.

Answer 1

We know for right angle triangle, $\Delta =\frac{1}{2}ab$,

Assuming $\angle c={90}^0$

Using $R=\frac{abc}{4△}$
Thus $\frac{a^2{b}^2{c}^2}{R^2}=16{\Delta }^2=4a^2{b}^2$