SOLUTION: Could 5, 12, and 13 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 5, 12, and 13 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 176785: Could 5, 12, and 13 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
:
5%5E2%2B12%5E2=13%5E2
:
25%2B144=169
:
169=169 since this statement is true
we can conclude that this is a right triangle