| \

                                  |45\

                                  |   \

                                 8|    \ y

                                  |     \

                                  |90  45\

                                  |_______\

                                     x 

Found 2 solutions by  Alan3354, TeachMath:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
 It's a right triangle.

It's an isosceles right triangle, since the 2 angles are 45 degs.

--> the short sides are equal

--> x = 8

=====================

then, y^2 = 8^2 + 8^2 = 128

y = sqrt(128) = sqrt(64*2) = sqrt(64)*sqrt(2)

y = 8sqrt(2)

 

Answer by TeachMath(96)   (Show Source): You can put this solution on YOUR website!
 With one leg of an isosceles triangle being s, the hypotenuse is: s√2. 

Therefore, in this case, hypotenuse, or y = 8√2. 

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