Question

$\Delta ABC$ is an isosceles right triangle with area $P$.The radius of the circle that passes through the point $A,BandC$ is

• A. $\sqrt{P}$
• B. $\sqrt{\frac{P}{2}}$
• C. $\frac{\sqrt{P}}{2}$
• D. $\sqrt{2P}$

Answer 1

The correct option is A $\sqrt{P}$

Area of $\Delta ABC=\frac{1}{2}{a}^2=P$
$a=\sqrt{2P}$
$\sqrt{2}=2r$
$\sqrt{2}a\times \sqrt{2}p=2r$
$2\sqrt{P}=2r$
$r=\sqrt{P}$