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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 17E
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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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