What is the perpendicular distance from the third side to the point?

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1 Answer
CW
Jun 20, 2018

Option E. " " 3E. 3

Explanation:

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Let |ABC||ABC| denote area of DeltaABC
AD=h=AB*sin60=4sqrt3*sqrt3/2=6
|ABC|=|APB|+|BPC|+|CPA|
=> 1/2*BC*AD=1/2*AB*PE+1/2*BC*PF+1/2*CA*PG
=> 1/2*4sqrt3*h=1/2*4sqrt3*x+1/2*4sqrt3*z+1/2*4sqrt3*y
=> h=x+z+y
=> 6=x+z+y
given that x=2/3, and y=7/3,
=> z=6-2/3-7/3=6-9/3=3

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