In , point is the midpoint of side . Point lies on side such that is parallel to…

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

Problem

\triangle PQR

, point

S

is the midpoint of side

PQ

. Point

T

lies on side

QR

such that

ST

is parallel to

PR

. (i) Prove that

T

is the midpoint of

QR

. (ii) Hence, show that

ST = \dfrac12 PR

. (iii) If

PR = 9.4\,\text{cm}

, calculate the length of

ST