From a point outside

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

From a point

P

outside

\triangle ABC

, lines

PB

and

PC

are drawn to points

B

and

C

on side

BC

such that

\angle PBC = \angle PCB

. Answer the following. (i) Prove that

PB = PC

. (ii) Explain what kind of triangle

PBC

is, giving reasons for your answer. (iii) If

PB = 12\,\text{cm}

, determine the length of

PC