Problem: The ratio of the perimeter of an equilateral triangle having an altitude equal to the radius of a circle, to the perimeter of an equilateral triangle inscribed in the circle is:
Answer Choices:
A. 1:2
B. 1:3
C. 1:3​
D. 3​:2
E. 2:3
Solution:
Let P1​ and P2​ be the perimeters of the smaller and larger triangles respectively. We have
