Home
Class 12
MATHS
If p(2),p(2),p(3) are the perpendiculars...

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))`

Promotional Banner

Similar Questions

Explore conceptually related problems

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).

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) 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_(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)) = .

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

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)) .

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 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 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))=