If the length of the perpendicular from the vertices of a triangle A,B,C on the opposite sides are `P_(1),P_(2),P_(3)` then `(1)/(P_(1))+(1)/(P_(2))+(1)/(P_(3))=`

If the lengths of the perpendiculars from the vertices of a triangle ABC on the opposite sides are p_(1), p_(2), p_(3) then prove that (1)/(p_(1)) + (1)/(p_(2)) + (1)/(p_(3)) = (1)/(r) = (1)/(r_(1)) + (1)/(r_(2)) + (1)/(r_(3)) .

P_(1),P_(2),P_(3),are:

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)) = .

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) are respectively the perpendiculars from the vertices of a triangle to the opposite sides , then (cosA)/(p_(1))+(cosB)/(p_(2))+(cosC)/(p_(3)) is equal to

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))

If p1,p2,p3 are respectively the perpendicular from the vertices of a triangle to the opposite sides,then find the value of p1p2p3

If p_(1), p _(2), p_(3) are respectively the perpendicular from the vertices of a triangle to the opposite sides, then find the value of p_(1) p_(2)p _(3).

The length of the perpendicular drawn from any point in the interior of an equilateral triangle to the respective sides are p_(1), p_(2) and p_(3) . The length of each side of the triangle is