56. In the figure below, the vertices of rectangle BCDE lie on the circle and the vertices of rhombus FGHI are the midpoints of the sides of rectangle BCDE. Point A is at the center of the circle, rectangle, and rhombus.

The radius of the circle is 4 feet. How long is a side of the rhombus, in feet?

Answer and Explanation

Your Answer is

Correct Answer is H

Explanation

Connect BD and pass through point A, the triangle BED is similar to the triangle FEI and the similarity ratio is two. Since the length of BD is the diameter of the circle8, the length of FI is half the diameter4. Choose H.