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Geometry Problem 459: Right triangle, Squares, Distance, Measurement

The figure shows a right triangle ABC with the squares ACDE and BCFG. If BC = a, AB = c, and DG = x, prove that Formula to prove.
 

Right triangle and squares

 

  

 

 

More Problems:

 

Circle, Tangent, Perpendicular, Radius

Proposed Problem 460.
Circle, Tangent, Perpendicular, Radius, Distance, Measurement.

 

Square, Circle, Tangent

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

 

Triangle Brocard point

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

 

Three tangent circles

Proposed Problem 456.
Three tangent circles, Center, Chord, Secant, Collinear.

 

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