Mathematics

Problem

ΔMNO is similar to ΔPQR with corresponding sides in the same order. a. (i) The sides of ΔMNO are

MN=2x+3\,\text{cm}

NO=3x-1\,\text{cm}

and

MO=4x+2\,\text{cm}

. The corresponding sides of ΔPQR are

PQ=15\,\text{cm}

QR=21\,\text{cm}

and

PR=28\,\text{cm}

. Prove that the two triangles are similar. b. (ii) Find the value of

x

. c. (iii) Hence, determine the perimeter of ΔMNO.