SOLUTION: In a right triangle ABC, the hypotenuse is AB, with AC=5 and BC=12. Make a square ABLH from the hypotenuse. What is the length of CH?

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Question 916776: In a right triangle ABC, the hypotenuse is AB, with AC=5 and BC=12. Make a square ABLH from the hypotenuse. What is the length of CH?
Answer by MathLover1(20849) About Me  (Show Source):
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a triangle ABC is a right triangle
the hypotenuse is AB,
AC=5 and BC=12
use Pythagorean theorem to find the hypotenuse
%28AB%29%5E2=%28AC%29%5E2%2B%28BC%29%5E2
%28AB%29%5E2=5%5E2%2B12%5E2
%28AB%29%5E2=25%2B144
%28AB%29%5E2=169
AB=sqrt%28169%29
AB=13
if you make a square ABLH from the hypotenuse, means a side of the square is same length as the hypotenuse; so, the length of CH=13