Question

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. Given = 3 radical 2

Answer 1

a^2+b^2=c^2
(3√2)^2+(3√2)^2=c^2
(9 x√4) +(9 x√4)= c^2
(9 x 2)+(9x2)= c^2
18+18=c^2
36=c^2
√36=√c^2
6=c

Answer 2

h^2 = 2 * (3 sqrt2)^2
= 2 * 18
= 36

hypotenuse = sqrt 36 = 6