The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator. 6.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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**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.

![Image of an isosceles right triangle with side lengths labeled.](URL-to-image)

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 \( x\sqrt{2} \).
Transcribed Image Text:**Special Right Triangles (Radical Answers)** *Jun 01, 8:32:43 PM* ### Watch help video The triangle below is isosceles. Find the length of side \( x \) in simplest radical form with a rational denominator. ![Image of an isosceles right triangle with side lengths labeled.](URL-to-image) 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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