The legs of a right triangle are 7 and 11 inches long, respectively. What is the length of the hypotenuse?

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Answer 1 · 2018-03-23T00:30:46

#sqrt(170)#, or #13.0384#...

You know that the Pythagorean Theorem is:

#a^2+b^2=c^2#,
Where:
#a# is the length of one of the legs,
#b# is the length of the other leg, and
#c# is the length of the hypotenuse.

You know the lengths of the two legs are #7# and #11#, so we'll say that #a# is #7#, and #b# is #11#.

Knowing that, we can plug those into our equation and simplify like so:

#7^2+11^2=c^2#
#49+121=c^2#
#170=c^2#
#sqrt(170)=c=13.0384...#

Hope this helped!