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

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)

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)

If p_(1),p_(2),p_(3) are the altitues 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)

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 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) 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 : p_1^-2 + p_2^-2 + p_3^-2 = ((cot A+cot B+ cotC))/triangle .

If p_1,\ p_2,\ p_3 are the altitudes of a triangle from its vertices A ,\ B ,\ C and "Delta" , the area of the triangle A B C , then 1/(p_1)+1/(p_2)-1/(p_3) is equal to s/"Delta" (b) (s-c)/"Delta" (c) (s-b)/"Delta" (d) (s-a)/"Delta"

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=