Elementary Geometry for College Students (5th Edition)

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

Chapter 5 - Section 5.6 - Segments Divided Proportionally - Exercises - Page 268: 38

Answer

MR=6; MN=3; NT=3

Work Step by Step

Since TSR is a 30-60-90 degree triangle, RT is double of ST; this means that RT is 12. Since TSN and NSM are each 30 degrees, it follows that TSM is equilateral. Thus, NT and MN are equal. Since MS is a bisector, we know that MR is twice NT and MN. Thus, dividing the length of 12 up, we find: $MR =6 \\ MN = 3 \\ NT =3 $
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.