Elementary Geometry for College Students (7th Edition)

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

Chapter 5 - Section 5.5 - Special Right Triangles - Exercises - Page 260: 37



Work Step by Step

We see that angle VWZ equals angle Y, for right angles are congruent. In addition, angle Z is congruent to itself by the identity property. Thus, by AA, triangles XYZ and WVZ are similar. Since CSSTP, we can make a proportion. Since V is a midpoint, we obtain: $\frac{5}{2} = \frac{3}{VW} \\ VW = 1.2$
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