Triangle ABC is similar to Triangle DEF. If the area of Triangle ABC is 4 times the area of Triangle DEF, what is the ratio of their perimeters?
Show answer & explanation
Correct answer: C
Explanation
Given:
Triangle ABC ∼ Triangle DEF
Area (ABC) : Area (DEF) = 4 : 1
Formula:
In similar triangles
Ratio of areas = (Ratio of sides)²
Ratio of perimeters = Ratio of sides
(Ratio of sides)² = 4 : 1
Ratio of sides = √(4 : 1) = 2 : 1
Ratio of perimeters = 2 : 1