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Answer on Geometry Question for Abhishek

Question #20606
The three perpendicular distances of three sides of an equilateral triangle from a point which lies inside that triangle are 6 cm,9 cm and 12 cm respectively.The perimeter of the triangle is
Expert's answer
Triangle ABC
Point O
H1- point of intersection with BC, OH1=12
H2 - point of intersection with AB, OH2=6
angle OBH=å.
6/sinå=12/sin(60-å) (sine theorem)
Analogically CH=b
Side is equal to 54/sqrt(3)
So, perimeter is 54sqrt(3)

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