In the givne figure, ABC is an equilateral triangle, `PQ"||"AC` and AC is produced to R such that CR = BP. Prove that QR bisects PC.

In the given figure,ABC is an equilateral triangle; PQ|AC and AC is produced to R such that CR=BP. Prove that QR bisects PC

In the given figure, ABC is an equilibrium triangle, PQ||AC and AC is produced to R such that CR=BP. Prove that QR bisects PC.

In the given figure, ABC is an equilibrium triangle, PQ||AC and AC is produced to R such that CR=BP. Prove that QR bisects PC.

In the following figure, ABC is an equilateral triangle in which QP is parallel to AC. Side AC is produced upto point R so that CR = BP. Prove that QR bisects PC.

In the adjoining figure, ABC is an isosceles triangle in which AB = AC. Also, D is a point such that BD = CD. Prove that AD bisects /_ A and /_D

In the adjoinng figure,Delta ABC is an isoceless triangle in which AB=AC .Also,D is a point such that BD=CD. Prove that AD bisects /_A and /_D.

ABC is an equilateral triangle, P is a point in BC such that BP : PC =2 : 1. Prove that : 9 AP^(2) =7 AB^(2)

In the following figure, ABC is an equilateral triangle and P is any point in AC, prove that : (i) BP gt PA (ii) BP gt PC