The areas of two similar triangles are in the ratio of 121:36. If the perimeter of the larger triangle is 55 units, what is the perimeter of the smaller triangle?
Show answer & explanation
Correct answer: C
Explanation
Given:
Ratio of the areas of two similar triangles = 121 : 36
Perimeter of the larger triangle = 55
According to the formula:
In similar triangles,
Ratio of areas = (Ratio of sides)²
Ratio of sides = √(121 : 36) = 11 : 6
The ratio of perimeters is also = 11 : 6
Perimeter of the smaller triangle = 55 × (6 / 11)
= 5 × 6
= 30 units