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To prove that tangents PQ and PR are equal in length without any extra constructions, we can utilize the properties of tangents to a circle.
Tangents PQ and PR to a circle with center O. To prove: PQ = PR. Proof: OQ is common to both triangles:* OQ is the radius of the circle, and it is common to both triangles. OR is the radius of the circle, and it is common to both triangles. The common side OQ and