G 35° H. F 18.4 in.

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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Find the measurements of the given figure. Round to the nearest hundredth a. GH= b. GF= c. M
### Right-Angle Triangle Diagram

**Description:**

The image shows a right-angle triangle labeled with vertices \( G \), \( F \), and \( H \). The triangle is oriented such that the right angle is at vertex \( F \). The length of side \( FH \) (the base of the triangle) is given as 18.4 inches. The angle \( \angle HGF \), opposite side \( FH \), is noted to be \( 35^\circ \).

**Details:**

- **Vertices and Angles:**
  - \( G \): Vertex at the top of the triangle.
  - \( F \): Vertex at the right-angle corner (90°).
  - \( H \): Vertex opposite \( G \).
  - \( \angle HGF = 35^\circ \).

- **Sides:**
  - Side \( FH \) is the base of the triangle, with a length of \( 18.4 \) inches.
  
This diagram is useful for understanding the properties of right-angle triangles and can be applied in trigonometric calculations to find unknown sides or angles using functions such as sine, cosine, and tangent.
Transcribed Image Text:### Right-Angle Triangle Diagram **Description:** The image shows a right-angle triangle labeled with vertices \( G \), \( F \), and \( H \). The triangle is oriented such that the right angle is at vertex \( F \). The length of side \( FH \) (the base of the triangle) is given as 18.4 inches. The angle \( \angle HGF \), opposite side \( FH \), is noted to be \( 35^\circ \). **Details:** - **Vertices and Angles:** - \( G \): Vertex at the top of the triangle. - \( F \): Vertex at the right-angle corner (90°). - \( H \): Vertex opposite \( G \). - \( \angle HGF = 35^\circ \). - **Sides:** - Side \( FH \) is the base of the triangle, with a length of \( 18.4 \) inches. This diagram is useful for understanding the properties of right-angle triangles and can be applied in trigonometric calculations to find unknown sides or angles using functions such as sine, cosine, and tangent.
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