# Inspired by " No way out, by Brian Charlesworth"

Geometry Level 3

On the same side of a straight line three circles are drawn as follows:

• A circle with a radius of 4 cm is tangent to the line.
• The other two circles are identical, and each is tangent to the line and to the other two circles.

What are the possible radii of these two identical circles?

A.$\ \,$ 24 cm only
B.$\ \,$ 20 cm only
C.$\ \,$16 cm only
D.$\ \,$ 24 and 20 cm only
E.$\ \,$ 20 and 16 cm only
F.$\ \,$ 16 and 24 cm only
G.$\ \,$ 16, 20, 14 cm only
H.$\ \$ No solution


Note: A diagram has not been provided because drawing the correct diagram is part of the problem solving.

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