The areas of two similar triangles are 5 cm² and 45 cm². If a side of the smaller triangle is 2 cm, what is the length of the corresponding side of the larger triangle?
Show answer & explanation
Correct answer: D
Explanation
Given:
Area of the smaller triangle = 5 cm²
Area of the larger triangle = 45 cm²
Side of the smaller triangle = 2 cm
Formula:
In similar triangles
Area ratio = (Ratio of sides)²
Area ratio = 45 / 5 = 9
Side ratio
√9 = 3
Side of the larger triangle = 2 × 3 = 6
Corresponding side of the larger triangle = 6 cm