Geometry: Common Core (15th Edition)

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

Chapter 7 - Similarity - 7-4 Similarity in Right Triangles - Lesson Check - Page 464: 6

Answer

$\frac{j}{d} = \frac{d}{g}$

Work Step by Step

All three triangles are similar to one another, meaning that the sides of the triangles are proportional. We can see that $j$ is the hypotenuse of the large triangle. Additionally, $g$ is the shorter side of one of the triangles formed by the altitude of the large triangle. What we want is the hypotenuse of this smaller triangle, which is represented by $d$, and the corresponding shorter leg of the large triangle, which is also represented by $d$. The proportion should read: $\frac{j}{d} = \frac{d}{g}$
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.