SOLUTION: How do I find the range of the hypotenuse of a triangle? Ex: 3 and 8 ___<x<___ I know to find the range of the third side you must add and subtract, but what about to find the

Algebra ->  Triangles -> SOLUTION: How do I find the range of the hypotenuse of a triangle? Ex: 3 and 8 ___<x<___ I know to find the range of the third side you must add and subtract, but what about to find the       Log On


   

Question 933030: How do I find the range of the hypotenuse of a triangle?
Ex: 3 and 8 ___ I know to find the range of the third side you must add and subtract, but what about to find the hypotenuse?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you have a right triangle, and you know the legs a & b, then you can find the hypotenuse c using the pythagorean theorem a%5E2%2Bb%5E2+=+c%5E2


So if a = 3 and b = 8, then a%5E2%2Bb%5E2+=+c%5E2 becomes 3%5E2%2B8%5E2+=+c%5E2. Then you solve for c. Again, this is ONLY if you have a right triangle with c being the hypotenuse.

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