Pedal Triangle!
With usual notations consider that X , Y , Z are the ex-centres of triangle ABC. If the ratio of circumradius of triangle XYZ to the circumradius of of triangle ABC is k : 1 , then what is the value of 'k' ?????
Note : A is a triangle obtained by projecting a point onto the sides of a triangle !!!!!
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The answer is 4.
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1 solution
If the radius of pedal triangle is R then the radius of triangle ABC is 2R and the radius of triangle XYZ is 4R.
(Here , the radius of triangle means the the radius of the circumcircle of the triangle.)
R a t i o = R 4 R = 4 : 1
Thus , k = 4 .
(If found any error please feel free to correct me.)
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