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2. In the diagram at right, AMAN -AYAZ; suppose AM =15, MY =25, MN =8, and NZ=20. Determine the lengths of AN and YZ. M N

2. In the diagram at right, AMAN -AYAZ; suppose AM =15, MY =25, MN =8, and NZ=20. Determine the lengths of AN and YZ. M N

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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2. In the diagram at right, \( \triangle MAN \sim \triangle YAZ \); suppose \( AM = 15 \), \( MY = 25 \), \( MN = 8 \), and \( NZ = 20 \). Determine the lengths of \( AN \) and \( YZ \). The diagram shows two triangles, \( \triangle MAN \) and \( \triangle YAZ \), sharing the line segment \( AN \). \( \triangle MAN \) is a smaller triangle within the larger triangle \( \triangle YAZ \). Line segment \( AB \) is part of \( \triangle MAN \), and line segment \( YZ \) is part of \( \triangle YAZ \). This is a problem involving similar triangles, where the sides of the triangles are proportional. To solve for \( AN \) and \( YZ \), use the properties of similar triangles and the given side lengths.
Transcribed Image Text:2. In the diagram at right, \( \triangle MAN \sim \triangle YAZ \); suppose \( AM = 15 \), \( MY = 25 \), \( MN = 8 \), and \( NZ = 20 \). Determine the lengths of \( AN \) and \( YZ \). The diagram shows two triangles, \( \triangle MAN \) and \( \triangle YAZ \), sharing the line segment \( AN \). \( \triangle MAN \) is a smaller triangle within the larger triangle \( \triangle YAZ \). Line segment \( AB \) is part of \( \triangle MAN \), and line segment \( YZ \) is part of \( \triangle YAZ \). This is a problem involving similar triangles, where the sides of the triangles are proportional. To solve for \( AN \) and \( YZ \), use the properties of similar triangles and the given side lengths.
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