Monday, July 4, 2011

Summer Problem Solving Marathon Question #27

[Value = 1 point]

Let ABCD be a square. Draw in the diagonals AC and BD. Let E be the midpoint of AB, F be the midpoint of BC, G be the midpoint of CD, and H be the midpoint of DA. Draw in the line segments EG and FH.

How many triangles are there in the resulting diagram?