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Side Inequality Theorem: If one side of a triangle is longer than the other side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side.
If AC>BC>AB, then m m m
Angle Inequality Theorem: If one angle of a triagle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle.
If m m m
List the sides in order of longest to shortest: Solution: Look at the following picture: We know that 67 + 53 + x = 180, that is, x = 60º. |