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square inscribed in circle, another tangent circle, equal segments wanted

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August 4, 2019
geometrysquarecirclesequal segments

Problem Statement

Let ABCDABCD be a square with circumcircle Γ1\Gamma_1. Let PP be a point on the arc ACAC that also contains BB. A circle Γ2\Gamma_2 touches Γ1\Gamma_1 in PP and also touches the diagonal ACAC in QQ. Let RR be a point on Γ2\Gamma_2 such that the line DRDR touches Γ2\Gamma_2. Proof that ∣DR∣=∣DA∣|DR| = |DA|.
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