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If a Blank 1 Question 26 is inscribed in a circle, then the hypotenuse is a Blank 2 Question 26 of the circle.

Question

If a Blank 1 Question 26 is inscribed in a circle, then the hypotenuse is a Blank 2 Question 26 of the circle.

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Solution

The question appears to imply a relationship between a triangle and a circle, specifically in the context of an inscribed triangle (a triangle drawn inside a circle with all vertices touching the circle).

  1. Understanding the Terms: A triangle inscribed in a circle is known as a cyclic triangle. The hypotenuse in question refers to the longest side of a right triangle inscribed in the circle.

  2. Key Concept: According to Thales' theorem, if A, B, and C are points on the circumference of a circle and angle ∠ABC is a right angle, then the hypotenuse AC is the diameter of the circle.

  3. Conclusion: Therefore, if a triangle is inscribed in the circle, particularly a right triangle, then the hypotenuse is a diameter of the circle.

Final Answer: If a Blank 1 Question 26 is inscribed in a circle, then the hypotenuse is a diameter of the circle.

This problem has been solved

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