P is a point on the bisector of `angle ABC ` .If the line through P,parallel to BA meet at Q ,prove that BPO is an isosceles triangle.

P is a point on the bisector of angle ABC .If the line through P , parallel to BA meet at Q ,prove that Delta BPQ is an isosceles triangle.

P is a point on the bisector of an angle /_ABC. If the line through P parallel to AB meets BC at Q, prove that triangle BPQ is isosceles.

P is a point on the bisector of an angle angleABC . If the line through P parallel to AB meets BC at Q. prove that triangle BPQ is isosceles.

P is a point on the bisector of an angle /_A B Cdot If the line through P parallel to A B meets B C at Q , prove that triangle B P Q is isosceles.

P is a point inside the triangle ABC. Lines are drawn through P, parallel to the sides of the triangle.The three resulting triangles with the vertex at P have areas 4,9 and 49 sq . units. The area of the triangle ABC is -

Construct a triangle ABC which angle ABC=75^(@), AB=5" cm"and BC =6.4" cm" . Draw perpendicular bisector of side BC and also the bisector of angle ACB. If these bisector intersect each other at point P, prove that P is equidistant from B and C, and also from AC and BC.

Pis a point inside the triangle ABC.Lines are drawn through P,parallel to the sides of the triangle.The three resulting triangles with the vertex at P have areas 4,9 and 49sq. units. The area of thetriangle ABC is -

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.

If the bisector of an angle of a triangle also bisects the opposite side, prove that triangle is isosceles.