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

Answer:

Yes, the side lengths of ΔABC forms a Pythagorean triple

Step-by-step 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