SOLUTION: can 10, 20 and 30 can be the lenghts of the sides of the triangle? right triangle? Explain

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Question 254124: can 10, 20 and 30 can be the lenghts of the sides of the triangle? right triangle? Explain
Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
If the triangle is a right triangle then the hypotenuse (the longest side) is 30. From the Pythagorean Theorem we would then have 10^2 + 20^2 = 30^2 or
100 + 400 = 900
Since 500 does not equal 900 we must not have a right triangle.