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5-17.

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: Homework Help ✎

1. The dart hits the center triangle?

How many smaller triangles make up the bigger triangle?

The probability is $\frac{1}{4}$.

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

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