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: 4



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, and $d$ is one of the legs of that same triangle. Additionally, $d$ is the hypotenuse of one of the triangles formed by the altitude of the large triangle. What we want is the corresponding leg in this smaller triangle, which is represented by $g$. The proportion should read: $\frac{j}{d} = \frac{d}{g}$
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