Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 8 - Section 8.2 - Perimeter and Area of Polygons - Exercises - Page 360: 27



Work Step by Step

An inscribed angle that intercepts a semicircle is always a right angle. Therefore angles D and B are right angles. AD$^2$=AC$^2$-CD$^2$ AD$^2$=100-16 AD=$\sqrt {84}$ BA$^2$=AC$^2$-BC$^2$ BA$^2$=100-36=64 BA=8 A=.5(4)($\sqrt {84}$)+.5(6)(8) A=2$\sqrt {84}$+24 A$\approx$42.33
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