4. An architect designs a triangular jogging track around a circular pond. Each side of the track just touches the pond. The circle is inscribed in the triangle. The center of the circle is called the incenter of the triangle. The diameter of the circle has length 41. DA = 8x + 2z –1-, DB= 6x + y+ 1, DC = 11y-2z + 2. 2 Find x, y, and z.

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
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4. An architect designs a triangular jogging track around a circular pond.
Each side of the track just touches the pond. The circle is inscribed
in the triangle. The center of the circle is called the incenter of the
triangle. The diameter of the circle has length 41.
DA = 8x + 2z –1-.
DB = 6x + y + 1, DC = 11y-2z + 2.
2
Find x, y, and z.
Transcribed Image Text:4. An architect designs a triangular jogging track around a circular pond. Each side of the track just touches the pond. The circle is inscribed in the triangle. The center of the circle is called the incenter of the triangle. The diameter of the circle has length 41. DA = 8x + 2z –1-. DB = 6x + y + 1, DC = 11y-2z + 2. 2 Find x, y, and z.
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