Question 916776

a triangle {{{ABC}}} is a right triangle

the hypotenuse is {{{AB}}}, 

{{{AC=5}}} and {{{BC=12}}} 

use Pythagorean theorem to find the hypotenuse

{{{(AB)^2=(AC)^2+(BC)^2}}} 

{{{(AB)^2=5^2+12^2}}} 

{{{(AB)^2=25+144}}} 

{{{(AB)^2=169}}}

{{{AB=sqrt(169)}}}

{{{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}}}