Question 836802: Okay, so I need help fully understanding how the Pythagorean theorem works in a question like: Does each set of numbers form a Pythagorean triangle? Explain why or why not. And then it gives me three numbers like: 15, 20, 25. (This is taken from a question that is similar to some assigned to me, but not the exact question, meaning that I can't use this answer to cheat, but to understand how to do my other questions!) Thanks for helping.
Found 2 solutions by ankor@dixie-net.com, stanbon:
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Does each set of numbers form a Pythagorean triangle? Explain why or why not. And then it gives me three numbers like: 15, 20, 25.
:
Pythagorean theorem can be written a^2 + b^2 = c^2
in the given example, does 15^2 + 20^2 equal 25^2? if it does it's a valid set
225 + 400 = 625, so it is a good set
:
do this with each set of numbers for example 30, 12, 36
30^2 + 12^2 = 36^2
900 + 144 does not equal 1296, so it is not a valid pythag set.
Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! Does each set of numbers form a Pythagorean triangle? Explain why or why not. And then it gives me three numbers like: 15, 20, 25.
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If you have a right triangle, 25 would have to be the hypotenuse,
since it is the longest side.
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Checking:
25^2 = 15^2 + 20^2
625 = 225 = 400
625 = 625
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Therefore the triangle is a right triangle
and the triangle is Pythagorean.
Cheers,
Stan H.
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