If `P_1, P_2` and `P_3` are the altitudes of a triangle from vertices `A, B` and `C` respectively and `Delta` is the area of the triangle, then the value of `1/P_1+1/P_2-1/P_3=`

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 .

If p_1,p_2,p_3 are altitudes of a triangle ABC from the vertices A,B,C respectively and Delta is the area of the triangle and s is semi perimeter of the triangle. If 1/p_1+1/p_2+1/p_3=1/2, then the least value of p_1p_2p_3 is

If p_1,p_2,p_3 are altitudes of a triangle ABC from the vertices A,B,C respectively and Delta is the area of the triangle and s is semi perimeter of the triangle The value of cosA/p_1+cosB/p_2+cosC/p_3 is

P_(1), P_(2), P_(3) are altitudes of a triangle ABC from the vertices A, B, C and Delta is the area of the triangle, The value of 1/p_(1)^(2) + 1/p_(2)^(2) + 1/p_(3)^(2) is equal to-

P_(1), P_(2), P_(3) are altitudes of a triangle ABC from the vertices A, B, C and Delta is the area of the triangle, The value of (cos A)/P_(1) + (cos B)/P_(2) + (cos C)/P_(3) is equal to-

If p_1p_2,p_3 are the lengths of altitudes of a triangle from the vertices A, B, C and Delta the area fo the triangle the 1/p_1 + 1/p_2 - 1/p_3 =

P_(1), P_(2), P_(3) are altitudes of a triangle ABC from the vertices A, B, C and Delta is the area of the triangle, The value of P_(1)^(-1) + P_(2)^(-1) + P_(3)^(-1) is equal to-

P_(1), P_(2), P_(3) are altitudes of a triangle ABC from the vertices A, B, C and Delta is the area of the triangle, The value of P_(1)^(-1) + P_(2)^(-1) + P_(3)^(-1) is equal to-

If p_(1), p_(2) and p_(3) are the altitudes of a triangle from the vertices of a Delta ABC and Delta is the area of triangle, prove that : (1)/(p_(1)) + (1)/(p_(2)) - (1)/(p_(3)) = (2ab)/((a+b+c)Delta) cos^(2).(C )/(2)

If p_1, p_2, p_3 are the altitudes of a triangle from the vertices A, B, C and triangle , the area of the triangle, prove that : 1/p_1+1/p_2-1/p_3= (2ab)/((a+b+c)triangle) cos^2 frac (C)(2) .