What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 5 and 11?
1 Answer
Feb 11, 2016
Explanation:
This is a job for the Pythagorean Theorem.
The Pythagorean Theorem takes the length of any two sides of a right triangle and tells you the length of the remaining side.
For a right triangle with leg lengths of
#a^2+b^2=c^2#
Here, we are given the two sides that are not the hypotenuse, which are
#5^2+11^2=c^2#
Simplify.
#25+121=c^2#
#146=c^2#
#c=sqrt146#
This is as simplified as it can get, since the prime factorization of