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Let A be (5,9), B be (-3,-5), anc C be (1,1). The median of a triangle connects a vertex of a triangle to the midpoint of the opposite side. For example, the median of a triangle ABC from vertex A connects A to the midpoint of line segement BC. (a) Find an equation describing the line that contains the median of A to the midpoint of line segment BC. (b) Find an equation describing the line that contains the median from B to the midpoint of line segment AC. (c) What point (x,y) is on both of the lines you found in parts (a) and (b)? (d) Is the point from part (c) on the median from C to the midpoint of line segemnt AB?

Let A be (5,9), B be (-3,-5), anc C be (1,1). The median of a triangle connects a vertex of a triangle to the midpoint of the opposite side. For example, the median of a triangle ABC from vertex A connects A to the midpoint of line segement BC. (a) Find an equation describing the line that contains the median of A to the midpoint of line segment BC. (b) Find an equation describing the line that contains the median from B to the midpoint of line segment AC. (c) What point (x,y) is on both of the lines you found in parts (a) and (b)? (d) Is the point from part (c) on the median from C to the midpoint of line segemnt AB?

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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Let A be (5,9), B be (-3,-5), anc C be (1,1). The median of a triangle connects a vertex of a triangle to the midpoint of the opposite side. For example, the median of a triangle ABC from vertex A connects A to the midpoint of line segement BC.

(a) Find an equation describing the line that contains the median of A to the midpoint of line segment BC.

(b) Find an equation describing the line that contains the median from B to the midpoint of line segment AC.

(c) What point (x,y) is on both of the lines you found in parts (a) and (b)?

(d) Is the point from part (c) on the median from C to the midpoint of line segemnt AB?

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