[" If "p_(1),p_(2),p_(3)" are the lengths of the altitudes of a "],[" triangle from the vertices "A,B,C" then "],[(1)/(p_(1)^(2))+(1)/(p_(2)^(2))+(1)/(p_(3)^(2))=]

If p_(1),p_(2),p_(3) are the lengths of the altitudes ofa tringle from the vertices A,B,C,then (1)/(p_(1)^(2))+(1)/(p_(2)^(2))+(1)/(p_(3)^(2))=

IF p_1,p_2,p_3 are the lengths of the altitudes of a triangle from the vertices A,B,C then 1/p_1+1/p_2 -1/p_3=

IF p_1,p_2,p_3 are the lengths of the altitudes of a triangle from the vertices A,B,C then 1//p_2^1+1//p_2^2+1//p_3^2=

IF p_1,p_2,p_3 are the lengths of the altitudes of a triangle from the vertices A,B,C then ( cosA)/p_1+( cos B)/p_2+( cos C)/p_3=

If p_(1),p_(2),p_(3) are altitude of a triangle ABC from the vertices A,B,C and Delta the area of the triangle, then (1)/(p_(1)^(2))+(1)/(p_(2)^(2))+(1)/(p_(3)^(2))=

If p_1 ,p_2,p_3 are the lengths of altitudes of Delta ABC from the vertices and Delta is the area of Delta ABC " then " (1)/(p_1) +(1)/(p_2) - (1)/( p_3) =

If P_1 , P_2 , P_3 are lengths of altitudes of a triangle from its vertices to the opposite sides then (1)/(p_1) + ( 1)/(P_2) +(1)/(p_3) =

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 =

If p_1,p_2,P_3 are the lengths of the altitudes from the vertices of Delta ABC to the opposite sides

If p_(1),p_(2),p_(3) are the altitudes of a triangle from the vertieces A,B,C and Delta is the area of the triangle then prove that (1)/(p_(1))+(1)/(p_(2))-(1)/(p_(3))=(2ab)/((a+b+c)Delta)"cos"^(2)(C)/(2)