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Three vertical poles of heights h1, h2 ...

Three vertical poles of heights `h_1, h_2 and h_3` at the vertices A, B and C of a `angleABC` subtend angles `alpha,beta `and `gamma` respectively at the cicumcentre of triangle. If `cotalpha, cotbeta` and `cotgamma` are in A.P. then `h_1,h_2,h_3,` are in

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