### Home > CCA2 > Chapter A > Lesson A.1.1 > Problem A-17

A-17.

The dartboard shown at right is in the shape of an equilateral triangle. It has a smaller equilateral triangle in the center, which was made by joining the midpoints of the three edges. If a dart hits the board at random, what is the probability that:

The dart hits the center triangle?

How many smaller triangles make up the bigger triangle?

The probability is

. The dart misses the center triangle but hits the board?

How many smaller triangles can be hit if the center one is missed?