Mathematics

Problem

\triangle ABC

\angle A = 55^\circ

\angle C = 65^\circ

and

AC = 6.5\,\text{cm}

. In another triangle

\triangle PQR

\angle P = 55^\circ

\angle R = 65^\circ

and

PR = 6.5\,\text{cm}

. (i) Prove that the two triangles are congruent. (ii) If

AB = 5.4\,\text{cm}

and

BC = 7.8\,\text{cm}

, find the lengths

PQ

and

QR

. a. Prove that the two triangles are congruent. b. If

AB = 5.4\,\text{cm}

and

BC = 7.8\,\text{cm}

, find the lengths

PQ

and

QR