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: 5


$\frac{j}{f} = \frac{f}{h}$

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 $f$ is the longer leg of the large triangle. Additionally, $f$ is the hypotenuse of one of the triangles formed by the altitude of the large triangle. What we want is the hypotenuse of the larger triangle, which is represented by $j$, and the corresponding longer leg of the smaller triangle, which is represented by $h$. The proportion should read: $\frac{j}{f} = \frac{f}{h}$
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