In ( XYZ ), point (P ) lies on side (XY ) such that (XP = PY ). A line through (P )…

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

\triangle XYZ

, point

P

lies on side

XY

such that

XP = PY

. A line through

P

parallel to

YZ

meets

XZ

at point

Q

. (a) Prove that

P

is the midpoint of

XY

. (b) Prove that

Q

is the midpoint of

XZ

. (c) If

YZ = 10\,\text{cm}

, find the length of

PQ