Elementary Geometry for College Students (5th Edition)

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

Chapter 5 - Section 5.2 - Similar Polygons - Exercises: 10

Answer

It is a right triangle, so all angles add to 180 degrees. Thus, we find: a) $B = 180 - 90 - 67 = 23^{\circ}$ b) Angle RPC corresponds to angle A in the other triangle. Since the triangles are similar, they have the same measure. The, $RPC = 67^{\circ}$ c) We use a proportion: $\frac{AC}{5} = \frac{26}{13} \\ AC = 10$ d) We use a proportion: $\frac{CB}{12} = \frac{26}{13} \\ CB = 24$
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