Problem 680: Concentric Circles, Radii, Chords, Perpendicular, Metric Relations. Level: High School, College, Math Education.

The figure shows two concentric circles with radii R and r. A chord AB of the outer circle meets the inner circle at C and D, respectively, CE is perpendicular to AB. If AC = a, CB = b, and CE = c, prove that Formula to prove.
 

Concentric circles. perpendicular chords, radii, metric relations

 

 

Cognition in Problem Solving:

Geometry problems 661-670

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Triangle, Circle, Median, Proportion.

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Geometry Jobs

Geometry problem solving is one of the most challenging skills for students to learn. When a problem requires auxiliary construction, the difficulty of the problem increases drastically, perhaps because deciding which construction to make is an ill-structured problem. By “construction,” we mean adding geometric figures (points, lines, planes) to a problem figure that wasn’t mentioned as "given."
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