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 .`