SOLUTION: How would I find the hypotenuse of a triangle if a=5 and b=12? It tells me the answer is 13 but I don't understand how..

Question 404138: How would I find the hypotenuse of a triangle if a=5 and b=12?
It tells me the answer is 13 but I don't understand how..

Answer by Algebra2you(12) (Show Source): You can put this solution on YOUR website!
Remember, the Pythagorean theorem states that a�+b�=c�.
a and b are the legs. The order doesn't matter. c is the hypotenuse, or the side opposite the right angle. It is also the longest side in a triangle.
So let's substitute a=5 and b=12 into the Pythagorean theorem and solve for c, the hypotenuse.
5�+12�=c�
25+144=c� Simplify squares.
169=c� Add like terms.
√169=√c� Take the square root of both sides to isolate the c.
13=c Simplify
So c, or the hypotenuse, is 13 :)
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