Prove that the segment that joins the midpoints of two sides of a triangle has a length equal to one-half the length of the third side. (HINT: In the drawing, MN is extended to D, a point on CD. Also, CD is parallel to AB.) N

Prove that the segment that joins the midpoints of two sides of a triangle has a length equal to one-half the length of the third side. (HINT: In the drawing, MN is extended to D, a point on CD. Also, CD is parallel to AB.) N

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.2: The Parallelogram And Kite

Problem 43E: Prove that the segment that joins the midpoints of two sides of a triangle has a length equal to...

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Question

Prove that the segment that joins the
midpoints of two sides of a triangle has a length equal to
one-half the length of the third side.
(HINT: In the drawing, MN is extended to D, a point on CD.
Also, CD is parallel to AB.)
N

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