SOLUTION: Prove if a triangle with the sides 13 units, 12 units, and 18.5 units is or is not a right triangle. I can't quite get it so if you could help this would be greatly appreciated.

Algebra ->  Pythagorean-theorem -> SOLUTION: Prove if a triangle with the sides 13 units, 12 units, and 18.5 units is or is not a right triangle. I can't quite get it so if you could help this would be greatly appreciated.      Log On


   

Question 1158975: Prove if a triangle with the sides 13 units, 12 units, and 18.5 units is or is not a right triangle. I can't quite get it so if you could help this would be greatly appreciated.
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39703) About Me  (Show Source):
You can put this solution on YOUR website!
Longest side is the 18.5 units.
If the triangle is Right Triangle, then according to Pythagorean Theorem,
13%5E2%2B12%5E2=18.5%5E2
Is this statement true, or is it false?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If the triangle is a right triangle, the square of the measure of the longest side will be equal to the sum of the squares of the measures of the two shorter sides. So is:



If that is a true statement, then the triangle is a right triangle. If it is not a true statement, the triangle is not a right triangle.


John

My calculator said it, I believe it, that settles it