SOLUTION: Determine the length of the hypotenuse of the right triangle with legs 4 and 12. Answer with a reduced radical.

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Question 974977: Determine the length of the hypotenuse of the right triangle with legs 4 and 12. Answer with a reduced radical.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Use the pythagorean theorem to find the hypotenuse


a%5E2%2Bb%5E2=c%5E2


4%5E2%2B12%5E2=c%5E2


16%2B144=c%5E2


160=c%5E2


c%5E2=160


c=sqrt%28160%29


c=sqrt%2816%2A10%29


c=sqrt%2816%29%2Asqrt%2810%29


c=4%2Asqrt%2810%29


The hypotenuse is exactly 4%2Asqrt%2810%29 units long.
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