Let f, g, h be the lengths of the perpendiculars from the circumcentre of the triangle ABC on the sides a,b and c respectively. If (a/f) + (b/g) + (c/h) = k.(abc)/(fgh), then the value of k is: A)1/4 B)1/2 C)1 D)2
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Let O be the circumcenter of the triangle ABC, We have Let . Then Then the equality becomes But is known that if then So,
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