In the diagram below, what is the ratio of the area of the equilateral triangle to the area of the square? Express your answer with simplified radicals.
Solution to yesterday’s problem:
Jemma has these socks in her drawer:
- 8 pink
- 8 navy with yellow stripes
- 8 black with polka-dots
- 8 purple/green argyle
So logically, to find the minimum number of socks to pick out randomly to have two socks of different colors, we should look at the worst case scenario: if the first 8 socks are all the same color. Then the next sock must be a different color. So Jemma must pick 9 socks to ensure that she has two different socks.