Geometry Problem 336: Proving a Conclusion about a
Square Inscribed in Tangent Circles with a Common Tangent Line
The figure shows circles A (radius r)
and B (radius r) tangent at point C. A common tangent line is
tangent to the circles at points D and E, respectively. Points F
and G are on line segment DE, point M is on arc CD, and point H
is on arc CE. If FGHM is a square of side length x, prove the
following conclusion .
Geometry Problem 336: Proving a Conclusion about a
Square Inscribed in Tangent Circles with a Common Tangent Line
.
