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What Are Externally and Internally Tangent Circles?

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Explanations 1

Internally tangent circles have their common tangent in between the circles. Externally tangent circles have their common tangents above and below the circles.
By Freya Edholm

Problems 1

Let ABCDABCDABCD be an isosceles trapezoid with AD=BC=15AD=BC=15AD=BC=15 such that the distance between its bases ABABAB and CDCDCD is 777. Suppose further that the circles with…