Question

If the square of the hypotenuse of an isoceles right-angled triangle is $242sq.cm$, find the length of each of the other two sides of the triangle.

Answer 1

REF.Image

Given a right angles isosceles triangle

Let

$AB=AC=a$

Given

hypotenuse square i.e $B{C}^2=242$ sq.cm

we know that $A{B}^2+A{C}^2=B{C}^2$

$a^2+a^2=B{C}^2$

$2a^2=242$

$a^2=121$

$a=11cm$

Therefore, length of each of other two sides is 11 cm.