Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 6 - Review Exercises - Page 316: 32

Answer

P=15+5$\sqrt 3$$\approx$23.66

Work Step by Step

An inscribed angle with a measure of 90 degrees intercepts a diameter of the circle. If the radius is 5 cm then the hypotenuse of the triangle is equal to 10 cm. Since it is a 30 60 90 triangle, the short leg is equal to 5 cm and the long leg is equal to 5$\sqrt 3$ cm. P=10+5+5$\sqrt 3$ P=15+5$\sqrt 3$$\approx$23.66
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