Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.1 - Angles, Degrees, and Special Triangles - 1.1 Problem Set - Page 11: 32

Answer

c = 10

Work Step by Step

We will use given data about triangle ABC & Pythagoras Theorem to solve for 'c'- We know that - $c^{2} =a^{2} + b^{2}$ ( Pythagoras Theorem) Therefore - $c^{2} = (6)^{2} + (8)^{2}$ $c^{2} = 36 + 64$ $c^{2} = 100$ therefore $ c = \sqrt (100)$ c = 10
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