How do you find the length of the hypotenuse of a right triangle with legs of lengths 5 and 12?

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Answer 1 · 2018-04-22T01:57:01

The length of the hypotenuse is #13#.

#a^2+b^2=c^2#

where #c# is the hypotenuse and #a# and #b# are the other two sides of a right triangle, we can solve for #c#:

#5^2+12^2=c^2#

#25+144=c^2#

#169=c^2#

#sqrt169=sqrt(c^2)#

#sqrt169=c#

#13=c#