Question

Check if (5, 12, 13) is a Pythagorean triple.

Answer 1

To find: Check whether (5, 12, 13) is a Pythagorean triple.

Given: a = 5; b = 12; c = 13 (13 is the longest side and is considered to be the hypotenuse.) 

Using the Pythagorean triples formula, we know that a Pythagorean triple satisfies

Pythagoras' theorem: c² = a²+b²

L. H. S. = c² = 13² = 169

R. H. S. = a² + b² = 5² + 12² = 25 + 144 = 169

Since the given values satisfy the Pythagoras' theorem,(5, 12, 13) is a Pythagorean triple.

(5, 12, 13) is a Pythagorean triple.