SOLUTION: I need help finding x if one leg is 7 square root 2 and x is the hypotenuse and it has a 45 degree angle?

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Question 384134: I need help finding x if one leg is 7 square root 2 and x is the hypotenuse and it has a 45 degree angle?
Found 2 solutions by ewatrrr, Alan3354:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Note: with a 45-45-90 triangle: the ratio of the Hypotenuse/leg is +sqrt%282%29%2F1

x is the hypotenuse: 

  +x%2F%287%2Asqrt%282%29%29+=+sqrt%282%29%2F1

cross multiply to solve for x

   x = 7*2 = 14, the length of the hypotenuse



CHECKING our Answer using Pythagorean Theorem

 49*2 + 49*2 = 98 + 98 = 196 = 14^2

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If it's a right triangle, which the allusion to hypotenuse implies, then the 2 legs are equal.
x, the hypotenuse is
x+=+sqrt%28+2%2A%287sqrt%282%29%29%29%5E2+