Finding the length of a line segment
ABCD is a unit square, ABE is an equilateral triangle, and F is the point of intersection of AC and BE. Find the measure of FC.
Hint # 1: What is the definition of a unit square?
Hint # 2: Identify an isosceles triangle that will be needed.
Hint # 3: Can two triangles be created? Label your new point M
Hint # 4: Don't forget about your right triangles!
Hint # 5: Looking at the length of BC, and knowing MC is x, BM can be represented by (1-x).
Solution: