Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 9 - Transformations - 9-1 Translations - Practice and Problem-Solving Exercises - Page 552: 37

Answer

$F$

Work Step by Step

According to the triangle-angle-bisector theorem, when a ray bisects the angle of a triangle, the opposite side is divided into two segments that are proportional to the remaining two sides of the triangle. Let's set up a proportion that compares the segments of the intersected side to the other two sides: $\frac{8.5}{x} = \frac{17}{9}$ Use the cross product property to get rid of the fractions: $17x = 8.5(9)$ Multiply to simplify: $17x = 76.5$ Divide each side of the equation by $17$ to solve for $x$: $x = 4.5$ The answer is option $F$.
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.