In , points on and on satisfy , and . The length can…

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

Problem

\triangle PQR

, points

S

PQ

and

T

PR

satisfy

PS = 4\,\text{cm}

SQ = 6\,\text{cm}

and

PT = 5\,\text{cm}

. The length

TR

can vary. (i) If

TR = 7.5\,\text{cm}

, prove or disprove that

ST

is parallel to

QR

. (ii) Determine the exact value of

TR

(if any) that will make

ST

parallel to

QR

. Show your calculations clearly. (iii) State whether any other value of

TR

can make

ST

parallel to

QR

. Give a brief justification.