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Geometry Problem 460: Circle, Tangent, Perpendicular, Radius, Distance, Measurement

The figure shows a circle O with the radius OA perpendicular to radius OB. Line CD is tangent to circle O at E. AF and BG are perpendicular to CD. If OA = x, AF = a, and BG = b, prove that Formula to prove.
 

Circle, tangent, perpendicular, radius

 

 

 

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Three tangent circles, Radius, Distance

Proposed Problem 461.
Three Circles, Tangent, Right Angle, Center, Distance, Measurement.

 

Right triangle, Squares

Proposed Problem 459.
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Square, Circle, Tangent

Proposed Problem 458.
Square, Semicircle, Circular Sector, Internal Common Tangent, Measurement.

 

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Proposed Problem 457.
Triangle, First Brocard Point, Congruent angles, Circle, Circumradius.

 

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