Question

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

Answer 1

Hope it helps you out.

Answer 2

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