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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Transcribed Image Text:This diagram illustrates a geometric shape and contains measurements for educational purposes.
1. **Right-Angle Triangle Formation**: The figure comprises a right-angle triangle, specifically triangle LKM, with one angle at point L being a right angle (90 degrees).
2. **Vertices and Angles**:
- Vertex L is where the right angle is located.
- The angle at vertex M is 15 degrees, which is labeled on the diagram.
3. **Line Segments**:
- **Line Segment LK** is perpendicular to **Line Segment LM**, forming the right angle at L.
- **Line Segment KM** stretches from point K to point M. The length is provided as 99 units.
- **Line Segment LM** is the other leg of the right-angle triangle, labeled as \( x \).
This diagram is useful for solving geometric problems involving right-angle triangles, such as finding unknown lengths using trigonometric ratios or the Pythagorean theorem.
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