"If `p_1,\\ p_2, p_3`are the altitudes of a triangle from the vertices `A , B , C ,\\ &\\ `denotes t
Channel: Doubtnut
Date: 2020-01-28

"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`"