Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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In the diagram, an isosceles right triangle is shown. One leg of the triangle is labeled with a length of 9 units, and the other leg is labeled \( x \).
To solve for \( x \), use the properties of 45-45-90 triangles, where the legs are congruent, and the hypotenuse is \( x\sqrt{2} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc259b5f5-e220-45fd-9fc8-4087989c3f1a%2F46c21123-d88a-4986-946d-fdd0e4b8d091%2Fvy8xtin_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Special Right Triangles (Radical Answers)**
*Jun 01, 8:32:43 PM*
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The triangle below is isosceles. Find the length of side \( x \) in simplest radical form with a rational denominator.

In the diagram, an isosceles right triangle is shown. One leg of the triangle is labeled with a length of 9 units, and the other leg is labeled \( x \).
To solve for \( x \), use the properties of 45-45-90 triangles, where the legs are congruent, and the hypotenuse is \( x\sqrt{2} \).
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