10.2 Special Right Triangles y= INSTRUCTIONS. Find the value of each variable. Leave your answer in simplest radical form. 2/1 1. x= 2/1 W= 2/1 4. y= 2/1

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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**10.2 Special Right Triangles**

**INSTRUCTIONS:** Find the value of each variable. Leave your answer in simplest radical form.

**Triangle 1:**

- A right triangle with angles 45°, 45°, and 90°.
- The hypotenuse is labeled as \(3\sqrt{2}\).
- One leg is labeled with the variable \(y\).

**Triangle 2:**

- A right triangle with angles 30°, 60°, and 90°.
- The side opposite the 30° angle is labeled 4.
- The side opposite the 60° angle is labeled with the variable \(w\).
- The hypotenuse is labeled with the variable \(x\).

**Exercises:**

1. Find \(y\) for Triangle 1.
2. Find \(x\) for Triangle 2.
3. Find \(w\) for Triangle 2.
4. Find \(y\) for Triangle 2.

*Type square root symbol as: sqrt*
Transcribed Image Text:**10.2 Special Right Triangles** **INSTRUCTIONS:** Find the value of each variable. Leave your answer in simplest radical form. **Triangle 1:** - A right triangle with angles 45°, 45°, and 90°. - The hypotenuse is labeled as \(3\sqrt{2}\). - One leg is labeled with the variable \(y\). **Triangle 2:** - A right triangle with angles 30°, 60°, and 90°. - The side opposite the 30° angle is labeled 4. - The side opposite the 60° angle is labeled with the variable \(w\). - The hypotenuse is labeled with the variable \(x\). **Exercises:** 1. Find \(y\) for Triangle 1. 2. Find \(x\) for Triangle 2. 3. Find \(w\) for Triangle 2. 4. Find \(y\) for Triangle 2. *Type square root symbol as: sqrt*
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