To complete Part A, Part B, and Part C, use ABC below, where points C and G form CG. Show all work. A G H D B F Note: The figure is not drawn to scale. Part A: Use the provided markings on the figure to determine whether point H is a centroid, circumcenter, orthocenter, or incenter. Provide a supporting explanation in complete sentences. Part B: If AG = 14 cm, GB = 10 cm, and BC = 19 cm, find the length of AC. Round to the nearest tenth. Part C: Suppose DC = 12 cm and AH = 16 cm. Use the lengths found in Part B to find the length of EH.

Elementary Geometry for College Students
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ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 7E: Which lines or line segments or rays must be drawn or constructed in a triangle to locate its...
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To complete Part A, Part B, and Part C, use ABC below, where points C and G form CG. Show all work.
A
G
B
F
Note: The figure is not drawn to scale.
Part A: Use the provided markings on the figure to determine whether point H is a centroid, circumcenter, orthocenter, or incenter.
Provide a supporting explanation in complete sentences.
Part B: If AG = 14 cm, GB = 10 cm, and BC = 19 cm, find the length of AC. Round to the nearest tenth.
Part C: Suppose DC = 12 cm and AH = 16 cm. Use the lengths found in Part B to find the length of EH.
Transcribed Image Text:To complete Part A, Part B, and Part C, use ABC below, where points C and G form CG. Show all work. A G B F Note: The figure is not drawn to scale. Part A: Use the provided markings on the figure to determine whether point H is a centroid, circumcenter, orthocenter, or incenter. Provide a supporting explanation in complete sentences. Part B: If AG = 14 cm, GB = 10 cm, and BC = 19 cm, find the length of AC. Round to the nearest tenth. Part C: Suppose DC = 12 cm and AH = 16 cm. Use the lengths found in Part B to find the length of EH.
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