The image displays two right triangles sharing a common side. ### Description: 1. **Larger Right Triangle:** - Hypotenuse: Not labeled - One leg is labeled as `h`. - The other leg (base) is labeled as `10`. 2. **Smaller Right Triangle (nested within the larger triangle):** - Hypotenuse: Labeled as `5`. - One leg is shared with the larger triangle and is a part of the hypotenuse of the larger triangle. - The other leg (base) is labeled as `6`. ### Analysis: - Both triangles have right angles indicating they are right triangles. - The base of the larger triangle is longer than that of the smaller triangle. - The smaller triangle's base and hypotenuse lengths suggest it is a scaled-down version of the larger triangle, indicating possible proportional relationship (similar triangles). This diagram could be used to teach concepts such as the Pythagorean theorem, similar triangles, or trigonometric ratios.

The image displays two right triangles sharing a common side. ### Description: 1. Larger Right Triangle: - Hypotenuse: Not labeled - One leg is labeled as `h`. - The other leg (base) is labeled as `10`. 2. Smaller Right Triangle (nested within the larger triangle): - Hypotenuse: Labeled as `5`. - One leg is shared with the larger triangle and is a part of the hypotenuse of the larger triangle. - The other leg (base) is labeled as `6`. ### Analysis: - Both triangles have right angles indicating they are right triangles. - The base of the larger triangle is longer than that of the smaller triangle. - The smaller triangle's base and hypotenuse lengths suggest it is a scaled-down version of the larger triangle, indicating possible proportional relationship (similar triangles). This diagram could be used to teach concepts such as the Pythagorean theorem, similar triangles, or trigonometric ratios.

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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Question

Find the unknown measurement. These are 2 similar triangles in the figure.

The image displays two right triangles sharing a common side.

### Description:

1. **Larger Right Triangle:**
- Hypotenuse: Not labeled
- One leg is labeled as `h`.
- The other leg (base) is labeled as `10`.

2. **Smaller Right Triangle (nested within the larger triangle):**
- Hypotenuse: Labeled as `5`.
- One leg is shared with the larger triangle and is a part of the hypotenuse of the larger triangle.
- The other leg (base) is labeled as `6`.

### Analysis:

- Both triangles have right angles indicating they are right triangles.
- The base of the larger triangle is longer than that of the smaller triangle.
- The smaller triangle's base and hypotenuse lengths suggest it is a scaled-down version of the larger triangle, indicating possible proportional relationship (similar triangles).

This diagram could be used to teach concepts such as the Pythagorean theorem, similar triangles, or trigonometric ratios.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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