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In this figure, the horizontal and vertical distances between adjacent dots is set at 1 cm. Find the height and area of triangle A. 1 cm Find the height and area of triangle C. B.

In this figure, the horizontal and vertical distances between adjacent dots is set at 1 cm. Find the height and area of triangle A. 1 cm Find the height and area of triangle C. B.

Elementary Geometry For College Students, 7e
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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**Educational Content: Analyzing Triangle Geometry on a Grid** In this figure, the horizontal and vertical distances between adjacent dots are set at 1 cm. **Task:** - Find the height and area of triangle A. - Find the height and area of triangle C. **Diagram Explanation:** The diagram consists of four triangles, labeled A, B, C, and D, positioned on a grid of dots. Each dot is separated by 1 cm horizontally and vertically. 1. **Triangle A (Green Triangle)**: - Positioned vertically with the base extending horizontally across two dot intervals. - The height spans vertically across three dot intervals. 2. **Triangle B (Red Triangle)**: - Positioned in a compact manner, with a base and height each covering one dot interval horizontally and vertically. 3. **Triangle C (Blue Triangle)**: - Positioned horizontally with a base extending across three dot intervals. - The height spans vertically across two dot intervals. 4. **Triangle D (Orange Triangle)**: - Contains a broader base that covers four dot intervals horizontally. - The height covers one dot interval vertically. Each triangle is drawn such that it occupies a distinct position and orientation, using the grid dots as reference points for measuring dimensions. Use this grid system to calculate the height and area of specific triangles.
Transcribed Image Text:**Educational Content: Analyzing Triangle Geometry on a Grid** In this figure, the horizontal and vertical distances between adjacent dots are set at 1 cm. **Task:** - Find the height and area of triangle A. - Find the height and area of triangle C. **Diagram Explanation:** The diagram consists of four triangles, labeled A, B, C, and D, positioned on a grid of dots. Each dot is separated by 1 cm horizontally and vertically. 1. **Triangle A (Green Triangle)**: - Positioned vertically with the base extending horizontally across two dot intervals. - The height spans vertically across three dot intervals. 2. **Triangle B (Red Triangle)**: - Positioned in a compact manner, with a base and height each covering one dot interval horizontally and vertically. 3. **Triangle C (Blue Triangle)**: - Positioned horizontally with a base extending across three dot intervals. - The height spans vertically across two dot intervals. 4. **Triangle D (Orange Triangle)**: - Contains a broader base that covers four dot intervals horizontally. - The height covers one dot interval vertically. Each triangle is drawn such that it occupies a distinct position and orientation, using the grid dots as reference points for measuring dimensions. Use this grid system to calculate the height and area of specific triangles.
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