SOLUTION: A triangle has sides with lengths of 5 feet, 12 feet, and 13 feet. Is it a right triangle? yes or no

Question 1035283: A triangle has sides with lengths of 5 feet, 12 feet, and 13 feet. Is it a right triangle? yes or no

Found 3 solutions by stanbon, Amrata1, MathTherapy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A triangle has sides with lengths of 5 feet, 12 feet, and 13 feet. Is it a right triangle? yes or no
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Ans:: yes if 13^2 = 12^2 + 5^2
yes if 169 = 144 + 25
yes if 169 = 169
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Ans: Yes
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Cheers,
Stan H.
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Answer by Amrata1(11)   (Show Source): You can put this solution on YOUR website!
It is a right angled triangle.
You need to check whether Pythagoras theorem can be applied or not.
If suppose it is a right angled triangle,
Then hypotenuse will be the longest side.
Here it is 13 ft.
So check whether 5^2 + 12^2 = 13^2 .
Since it is true, hence triangle is a right angled triangle.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

A triangle has sides with lengths of 5 feet, 12 feet, and 13 feet. Is it a right triangle? yes or no

A triangle with 5-12-13 sides is considered a Pythagorean triple, and represents one of many right-angled triangles.
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