Saturday, March 14, 2015

Geometry Problem 1098: Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the diagram below to enlarge it.

Online Math: Geometry Problem 1098: Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations.

1 comment:

  1. Obvious ∠O₁CO₂=90°, thus ∠O₁CA₁ + ∠O₂CA₂=90°.
    That is, ΔO₁CA₁~ΔCO₂A₂.

    Hence, O₁A₁/CA₂ = CA₁/O₂A₂.
    i.e. r₁×r₂ = A₁C×A₂C.

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