opposite
larger C A longer BC AB
longest largest 180 - 55 - 24 101 101
QR < PQ < RP 53 37 2.5mi 2mi 1.5mi
AB BC This is really the only one you need to look at. If the two shorter sides are greater than the longest side, your triangle will work. AB BC BC AB
14 - 10 < x < 14 +10 4 < x < 24 I prefer to think of it as a compound inequality where I take the difference and sum of the 2 sides. 10 14 10 14 4 24 24 greater than 4 and less than 24
23 - 17 < x < 23 + 17 6 < x < 40 The third side of the triangle must be greater than 6 meters but less than 24 meters.