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 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 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 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),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 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

Consider a triangle ABC, G be the centroid , AB = c, BC= a, AC = b, p,q,r are the length of the angle bisectors of A,B,C respectively and p1,p2,p3 are the length of the Altitudes from vertices A,B,C respectively: Find 1. Value of sqrt ( p_1 ^(-2) + p_2 ^(-2) + p_3 ^(-2) ) ( Delta denotes area of triangle) is 2. The value of GA^2 + GB^2 + GC^2 is 3. The value of 1/p cos(A/2) + 1/q cos (B/2) + 1/r cos(C/2) is

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),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_(2),p_(2),p_(3) are the perpendiculars from the vertices of a triangle to the opposite sides, then prove that p_(1)p_(2)p_(3)=(a^(2)b^(2)c^(2))/(8R^(3))