Two triangles and are each right-angled at and respectively

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

Problem

Two triangles

\triangle PQR

and

\triangle STU

are each right-angled at

Q

and

T

respectively. It is given that

PR = SU = 13\,\text{cm}

and

PQ = ST = 5\,\text{cm}

. (a) Prove that

\triangle PQR \cong \triangle STU

. (b) Find the lengths of

QR

and

TU

. (c) Determine the perimeter of

\triangle STU

. (Give your answer correct to one decimal place if necessary.)