In , a point is taken on and a point on such that is parallel to . It is given that ,…

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

Problem

\triangle PQR

, a point

S

is taken on

PQ

and a point

T

PR

such that

ST

is parallel to

QR

. It is given that

PS = 6\,\text{cm}

PQ = 15\,\text{cm}

PR = 20\,\text{cm}

and

ST = 8\,\text{cm}

. (i) Find the lengths of

PT

and

TR

. (ii) Using your answer from part (i), determine the length of

QR