One of two similar triangles has an area of 1/4 times that of the other. What is the ratio of its perimeter of the triangles?

(I know the answer but I don't know the solution, please explain. Thank you very much!!)

1 answer

based on the theorem that the area of similar figures is proportional to the square of their corresponding sides, thus also their perimeters.

so
(p1)^2 : (p2)^2 = 1 : 4
p1 : p2 = √1 : √4
= 1 : 2
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