Mathematics

Problem

\triangle ABC

AB = 5\,\text{cm}

BC = 7\,\text{cm}

and

CA = 6\,\text{cm}

. In another triangle

PQR

PQ = 5\,\text{cm}

QR = 7\,\text{cm}

and

\angle Q = 48^{\circ}

. It is also given that

\angle B = 48^{\circ}

. a. (i) Show that

\triangle ABC \cong \triangle PQR

and state the congruence criterion used. b. (ii) Find the length

PR

. c. (iii) Write all three pairs of equal angles of the two triangles in matching order.