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If P1,P2,P3 be the altitudes of a triang...

If `P_1,P_2,P_3` be the altitudes of a triangle from the vertices A,B,C Respectively and `Delta` be the area the triangle, then prove that `1/P_1^2+1/P_2^2+1/P_3^3=(cotA+cotB+cotC)/Delta`.

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PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
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