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A point D is fixed on the side BC of the triangle ABC. Two points Pand Q are picked independently at random in ABD and ADC respectively. Show that E|APQ| = |AG₁G₂| = |ABC), where G₁ and G₂ are the centres of gravity of ABD and ADC.

A point D is fixed on the side BC of the triangle ABC. Two points Pand Q are picked independently at random in ABD and ADC respectively. Show that E|APQ| = |AG₁G₂| = |ABC), where G₁ and G₂ are the centres of gravity of ABD and ADC.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A point D is fixed on the side BC of the triangle ABC. Two points Pand Q are picked independently at random in ABD and ADC respectively. Show that E|APQ| = |AG₁G₂| = |ABC), where G₁ and G₂ are the centres of gravity of ABD and ADC.
Transcribed Image Text:A point D is fixed on the side BC of the triangle ABC. Two points Pand Q are picked independently at random in ABD and ADC respectively. Show that E|APQ| = |AG₁G₂| = |ABC), where G₁ and G₂ are the centres of gravity of ABD and ADC.
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