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Right triangle ABC has side lengths 3,4 and 5. Do the side lengths form a Pythagorean triple? Explain.

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Right triangle ABC has side lengths 3,4 and 5. Do the side lengths form a Pythagorean-example-1
User Ben Kane
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Answer:

Yes, the side lengths of ΔABC forms a Pythagorean triple

Explanation:

Given : A right angled triangle ABC

Side lengths - 3,4 and 5

To Find: . Do the side lengths form a Pythagorean triple?

Solution :

Hypotenuse (longest side) = 5

To check we need to use Pythagoras theorem :


Hypotenuse^(2) =Perpendicular^(2) +Base^(2)


5^(2) =3^(2) +4^(2)


25 =9 +16


25 =25

Since Pythagoras theorem is verified . So, the side lengths form the Pythagorean triplet.

Hence the side lengths of ΔABC forms a Pythagorean triple

User Angelous
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