SOLUTION: Could 10, 15, and 20 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 10, 15, and 20 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 176787: Could 10, 15, and 20 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 jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

The same scenario, by Pythagorean Theorem:
where-------->system%28opp=10%2Cadj=15%2Chyp=20%29
Then, hyp%5E2=opp%5E2%2Badj%5E2
20%5E2=10%5E2%2B15%5E2
400=100%2B225
400%3C%3E325. Does not satisfy the Theorem. Therefore, the Sides cannot represent on that of a Right Triangle.
Thank you,
Jojo