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 - Practice and Problem-Solving Exercises - Page 465: 10


$\triangle PQR$ ~ $\triangle PSQ$ ~ $\triangle QSR$

Work Step by Step

In a right triangle that is cut by its altitude, the three triangles formed are similar to one another. We just need to make sure that we have the correct corresponding vertices: $\triangle PQR$ ~ $\triangle PSQ$ ~ $\triangle QSR$
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