Question

find the length of each isosceles right triangle when the hypotenuse is of the given measure given 8cm

Answer 1

It is given that the triangle is isosceles right triangle . And in an isosceles right triangle the legs are equal . Let each leg be of x units. Now we use pythagorean identity, which is

$a^2 +b ^2=c^2$

$x^2 +x^2 = 8^2$

$2x^2 = 64$

$x^2 = 32$

$x = 4 \sqrt 2$

So the length of each leg is $4 \sqrt 2 .$