The hypothenuse is a diameter of the circumscribed circle. This follows from the law of sines. In a triangle ABC , let D , E and F be points on the lines BC , CA and AB , respectively. In a triangle ABC , let D , E and F be points on the lines BC , CA and AB , respectively. For any three lengths such that each is less than the sum of the other two, there is a triangle with these side lengths.
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