Chapter 5 - Section 5.4 - The Pythagorean Theorem - Exercises - Page 252: 13d

Obtuse Triangle

Work Step by Step

Using the Pythagorean Theorem... $a^{2}+b^{2}=c^{2}$ $3^{2}+8^{2}=15^{2}$ Simplify... $9+64=225$ $73=225$ Since the sum of the sides squared $(73)$ is less than the hypotenuse squared $(225)$, the triangle is an obtuse triangle.

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