SOLUTION: Could 9, 12, and 15 represent the lengths of sides of a right triangle? Justify your answer. hope i made it clear enough for you to understand; Thanks for your help!

Algebra ->  Pythagorean-theorem -> SOLUTION: Could 9, 12, and 15 represent the lengths of sides of a right triangle? Justify your answer. hope i made it clear enough for you to understand; Thanks for your help!      Log On


   

Question 176786: Could 9, 12, and 15 represent the lengths of sides of a right triangle? Justify your answer.
hope i made it clear enough for you to understand;
Thanks for your help!
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
for a right triangle we know that sum of each side squared= hypothenuse squared
:
so if this is a right triangle this should hold true
:
we know that the longest side is the hypothenuse
:
9%5E2%2B12%5E2=15%5E2
:
81%2B144=225
:
225=225 since this statement is true
we can conclude that this is a right triangle