In the diagram, PQ is a chord of the circle with centre M. PQ is produced to R such that QR = PQ. T is the midpoint of PQ and MT is drawn. Prove that MR² = MQ² +2QR²

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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In the diagram, PQ is a chord of the circle with centre M.

PQ is produced to R such that QR = PQ.

T is the midpoint of PQ and MT is drawn.

Prove that MR² = MQ² +2QR²

P
M
T
Q
R
Transcribed Image Text:P M T Q R
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