Mathematics

Problem

\triangle PQR

has sides

PQ = 4\,\text{cm}

QR = 6\,\text{cm}

and

RP = 5\,\text{cm}

\triangle ABC

has sides

AB = 6\,\text{cm}

BC = 9\,\text{cm}

and

CA = 7.5\,\text{cm}

. a. (i) List the pairs of corresponding sides of the two triangles so that the sides are in the same order of magnitude. b. (ii) Prove that the two triangles are similar. c. (iii) Briefly explain why having the three pairs of corresponding sides in the same ratio is enough to claim that the two triangles are similar but not necessarily congruent.

Browse the problem library