Asked by Anonymous
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!!)
(I know the answer but I don't know the solution, please explain. Thank you very much!!)
Answers
Answered by
Reiny
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
so
(p1)^2 : (p2)^2 = 1 : 4
p1 : p2 = √1 : √4
= 1 : 2
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