The areas of two similar triangles are 169 sq.cm. and 121 sq.cm. If the longest side of larger triangle is 26 cm, then the length of the longest side of the other triangle is ______.

26 cm
18 cm
28 cm
22 cm

Show answer & explanation

Answer: (D) 22 cm

Explanation

For similar triangles, the ratio of areas is the square of the ratio of sides. Sides are in the ratio √121 : √169 = 11 : 13, so the longest side of the smaller triangle = 26 × 11/13 = 22 cm.