The areas of the two similar triangles are 225 cm2 and 196 cm2. If the largest side of the larger triangle is 30 cm, then the longest side of the smaller triangle is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 28 cm.
Ratio of sides = √225 : √196 = 15 : 14
Let the longest side of the smaller triangle = x cm
30/x = 15/14
⇒ x = (30 × 14)/15 = 28 cm