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=`

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 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)

P1 and P2 are respectively :

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

If in a /_\ABC, a,b,c are in A.P. and P_(1),P_(2),P_(3) are th altitude from the vertices A,B and C respectively then

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 the altitudes of a triangle are in A.P,then the sides of the triangle are in

The vertices of A B C are (-2,\ 1),\ (5,\ 4) and (2,\ -3) respectively. Find the area of the triangle and the length of the altitude through A .