Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 6 - Section 6.1 - Circles and Related Segments and Angles - Exercises - Page 277: 43

Answer

WZ=1.75

Work Step by Step

The measure of an inscribed angle is equal to half of measure of the angle of the arc it inscribes. Thus, the measure of angle Z is 90 degrees. Since the measure of XO equals the measure of OY, we find that the measure of XY equals 10. Using the Pythagorean thorem, we obtain that YZ equals $\sqrt{10^2 - 6^2} = 8$. Since XW is congruent to WY, we find: $6^2 + WZ^2 = (8 - WZ)^2 \\ 36 = 64 - 16WZ \\ WZ = 1.75$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.