Question

If the square of the hypotenuse of an isosceles right triangle is $128c{m}^2$. The length of other two sides is 8 cm.

• A. True
• B. False

Answer 1

The correct option is A True

Let the two equal side of right angled isosceles triangle, right angled at Q be k cm.

$h^2=128$

So, we get,

$P{R}^2=P{Q}^2+Q{R}^2$

$h^2=k^2+k^2$

$128=2k^2$

$k^2=64$

$k=8$

Therefore, the length of other two sides is 8 cm.