Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 5 - Section 5.5 - Special Right Triangles - Exercises - Page 249: 37

Answer

1.2

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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