An equilateral triangle ABC has one vertex at (2,0) and ortho center a – InterviewSolution

1.	An equilateral triangle ABC has one vertex at (2,0) and ortho center at (1, 1√3). Let P=(12, 14) and distances of P from the sides BC, AC, and AB are x, y and z respectively, then x+y+z is equal to
Answer» An equilateral triangle $A B C$ has one vertex at $(2, 0)$ and ortho center at $(1, \frac{1}{\sqrt{3}})$ . Let $P = (\frac{1}{2}, \frac{1}{4})$ and distances of $P$ from the sides $B C, A C,$ and $A B$ are $x, y$ and $z$ respectively, then $x + y + z$ is equal to

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