Elementary Geometry for College Students (5th Edition)

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

Chapter 4 - Section 4.3 - The Rectangle, Square, and Rhombus - Exercises - Page 203: 42

Answer

BE=$\sqrt {68}$$\approx$8.2

Work Step by Step

DE$^{2}$+AD$^{2}$=AE$^{2}$ DE$^{2}$=10$^{2}$-8$^{2}$ DE=6 CE=CD-DE CE=8-6 CE=2 BC$^{2}$+CE$^{2}$=BE$^{2}$ 8$^{2}$+2$^{2}$=BE$^{2}$ BE=$\sqrt {68}$$\approx$8.2
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