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Prove Thales' Theorem: an angle inscribed in a semicircle is a right angle.

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Prove Thales' Theorem: an angle inscribed in a semicircle is a right angle. Prove the converse: given a right triangle whose vertices lie on a circle, then the hypotenuse is a diameter of the circle.
[REMARK: Both Thales' theorem and its converse are valid in any inner product space].
in Mathematics by Platinum (101k points) | 212 views

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