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Angle-Side Relations In A Triangle

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In a triangle, the longer side is opposite the greater angle.
In a triangle, the sum of the lengths of two sides is always greater than the length of the third side.
In a triangle, the absolute value of the difference of lengths of two sides is always less than the length of the third side.
The order of the lengths of the altitude, angle bisector and median drawn from the same vertex of a triangle:

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