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let-the-line-joining-through-orthocenter-and-circumcenter-of-a-triangle-ABC-is-parallel-to-the-base-BC-then-find-tan-B-tan-C-




Question Number 146874 by gsk2684 last updated on 16/Jul/21
let the line joining through   orthocenter and circumcenter   of a triangle ABC is parallel to   the base BC then find  tan B.tan C
$${let}\:{the}\:{line}\:{joining}\:{through}\: \\ $$$${orthocenter}\:{and}\:{circumcenter}\: \\ $$$${of}\:{a}\:{triangle}\:{ABC}\:{is}\:{parallel}\:{to}\: \\ $$$${the}\:{base}\:{BC}\:{then}\:{find}\:\:\mathrm{tan}\:{B}.\mathrm{tan}\:{C} \\ $$

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