Prove that the three perpendiculars drawn from the vertices of a triangle upon the opposite sides all meet in a point.

Prove that the perpendicular let fall from the vertices of a triangle to the opposite sides are concurrent.

Prove that the perpendiculars drawn from the vertices of equal angles of an isosceles triangle to the opposite sides are equal.

Altitudes the perpendiculars drawn from the vertices of a trriangle to the opposite side are known as the altitudes of the triangle.

If hat harr ABC is an isosceles triangle with AB=AC. Prove that the perpendiculars from the vertices B and C to their opposite sides are equal.

If DeltaABC is an isosceles triangle with AB = AC. Prove that the perpendiculars from the vertices B and C to their opposite sides are equal.

If ABC is an isosceles triangle with AB=AC .Prove that the perpendiculars from the vertices B and C to their opposite sides are equal.

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 ) .