Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 1 - Review Exercises - Page 43: 20

Answer

$m=45$ and $n=60$

Work Step by Step

Similar triangles have corresponding sides in proportion. Side of length 75 corresponds to side of length 50 and side of length n corresponds to side of length 40. This leads to the following proportion: $\frac{75}{50}=\frac{n}{40}$ Solving, $75\times40=50\times n$ $3000=50n$ Dividing both sides by $50, $$n=60$. Side of length 75 corresponds to side of length 50 and side of length m corresponds to side of length 30. This leads to the following proportion: $\frac{75}{50}=\frac{m}{30}$ Solving, $75\times30=50\times m$ $2250=50m$ Dividing both sides by $50, $$m=45$.
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.