Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 4 - Section 4.2 - The Parallelogram and Kite - Exercises - Page 195: 36

Answer

AC$\approx$8.5 or $\sqrt {72}$

Work Step by Step

m$\angle$ABC=90 because the reflex of that angle is equal to 270$^{\circ}$. Therefore ABC is a right triangle. AB=BC=6 inches AB$^{2}$+BC$^{2}$=AC$^{2}$ 6$^{2}$+6$^{2}$=AC$^{2}$ AC=$\sqrt {72}$$\approx$8.5
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