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a) Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. b) Use the relationship from part (a) to find CM, the length of the median to the hypotenuse of right AABC, in which m2C = 90°, AC 6, and BC = 8.

a) Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. b) Use the relationship from part (a) to find CM, the length of the median to the hypotenuse of right AABC, in which m2C = 90°, AC 6, and BC = 8.

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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a) Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. b) Use the relationship from part (a) to find CM, the length of the median to the hypotenuse of right AABC, in which m2C = 90°, AC 6, and BC = 8.
Transcribed Image Text:a) Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. b) Use the relationship from part (a) to find CM, the length of the median to the hypotenuse of right AABC, in which m2C = 90°, AC 6, and BC = 8.
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