Thales' Theorem - Converse

Converse

The converse of Thales' theorem is also valid; it states that a right triangle's hypotenuse is a diameter of its circumcircle.

Combining Thales' theorem with its converse we get that:

The center of a triangle's circumcircle lies on one of the triangle's sides if and only if the triangle is a right triangle.

Read more about this topic:  Thales' Theorem

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