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Relation Between Sides and Angles of Triangle

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  • If all the sides of a triangle are of  different lengths, its angles are also of different measures in such a way that, the greater side has greater angle opposite to it.

  • If all the angles of a triangle have different measures, its sides are also of different lengths in such a way that, the greater angle has greater side opposite to it.

  • If any two sides of a triangle are equal, the angles opposite to them are also equal. Conversely, if any two angles of a triangle are equal, the sides opposite to them are also equal.

  • If all the sides of a triangle are equal, all its angles are also equal. Conversely, if all the angles of a triangle are equal, all its sides are also equal.
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