# Chapter 5 - Section 5.4 - The Pythagorean Theorem - Exercises - Page 240: 11a

$(3, 4, 5)$ is a Pythagorean Triple

#### Work Step by Step

The longest side is always the hypotenuse. $c=5$ Using the Pythagorean Theorem... $a^{2}+b^{2}=c^{2}$ $3^{2}+4^{2}=5^{2}$ Simplify... $9+16=25$ $25=25$ Since the equation is true, the numbers $(3, 4, 5)$ are a Pythagorean Triple.

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