Mathematics

Problem

Triangle

PQR

has side lengths

PQ = 10\,\text{cm}

PR = 14\,\text{cm}

and

QR = 18\,\text{cm}

. Points

S

T

and

U

are the midpoints of

PQ

PR

and

QR

respectively. The quadrilateral

STUQ

is formed by joining the points

S

T

U

and the vertex

Q

in that order. a. (i) Find the lengths of

ST

and

SU

. b. (ii) Hence calculate the perimeter of quadrilateral

STUQ