Chapter 10 - Geometry - 10.2 Triangles - Exercise Set 10.2: 21

$c=17$

Work Step by Step

Pythagorean Theorem: $a^{2}+b^{2}=c^{2}$ Step 1: plug in the given lengths into the formula. $8^{2}+15^{2}=c^{2}$ Step 2: Solve. 64+225=$c^{2}$ 289=$c^{2}$ Step 3: take the square root of both sides. $\sqrt{289}=\sqrt c^{2}$ 17=c Answer: c=17 m

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