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_(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 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 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) are altitudes of a triangle ABC from the vertices A,B,C and ! the area of the triangle, then p_(1).p_(2),p_(3) is equal to

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 altitudes of a triangle ABC from the vertices A,B,C and ! the area of the triangle, then p_(1)^(2)+p_(2)^(-2)+p_(3)^(-2) is equal to

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) and are respectively the perpendiculars from the vertices of a triangle to the opposite sides, prove that : (1)/(p_(1)) + (1)/(p_(2)) + (1)/(p_(3)) = (1)/(r ) .

If p_1,p_2,p_3 re the altitudes of the triangle ABC from the vertices A, B and C respectivel. Prove that (cosA)/p_1+(cosB)/p^2+(cosC)/p_3 =1/R

If p_(1), p_(2) and p_(3) and are respectively the perpendiculars from the vertices of a triangle to the opposite sides, then (1)/(p_(1)) + (1)/(p_(2)) - (1)/(p_(3)) = .