Lesson: Geometry Challenging - 14

Inscribed Triangles

[Page 14 of 32]

A circle that inscribes a triangle is a circle contained in the triangle that just touches the sides of the triangle.

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If a triangle is inscribed in a circle so that one of its sides is a diameter of the circle, then the triangle is a right triangle, and the diameter is the hypotenuse.

Otherwise, the triangle is not a right triangle.

Δ ABC is a right triangle because side AB passes through R, the center of the circle. AC and CB are legs, and AB is the hypotenuse.

Δ DEF is not a right triangle because no side passes through center S.

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