Question

If an isosceles right - angled triangle has area $200c{m}^2$, then the measure of its hypotenuse is ___ cm.

• A. 10
• B. $10\sqrt{2}$
• C. 20
• D. $20\sqrt{2}$

Answer 1

The correct option is D

$20\sqrt{2}$

Let the equal sides of the isosceles right angle triangle be 'a'

$\frac{1}{2}{a}^2=200$

$a^2=400$

$a=20cm$

Hypotenuse = $a\sqrt{2}$

= $20\left(\sqrt{2}\right)$

= $20\sqrt{2}cm$

Hence (D)