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
[tex] a^2 +b ^2=c^2 [/tex]
[tex] x^2 +x^2 = 8^2 [/tex]
[tex] 2x^2 = 64 [/tex]
[tex] x^2 = 32 [/tex]
[tex] x = 4 \sqrt 2 [/tex]
So the length of each leg is [tex] 4 \sqrt 2 . [/tex]
