Question 254142: IF two side of a triangle are unequal, the angle opposite to the smaller side must be acute. Found 2 solutions by richwmiller, JimboP1977:Answer by richwmiller(17219) (Show Source):
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If you draw a triangle ABC with a horizontal base of length b going from A to B. If the other side a extending from B to C is less than b it is impossible for the angle to be larger than 90 and therefore must be acute.