The three sides of an equilateral triangle measure (x + 12), (2x - 5) and (3x - 22) inches. The sides of the triangle measure

17 inches

29 inches

32.5 inches

44.5 inches

All 3 sides are equal in an equilateral triangle ...

2x - 5 = 3x - 22

-5 + 22 = 3x - 2x

17 = x

2x - 5 = 2 (17) - 5 = 34 - 5 = 29

3x - 22 = 3 (17) - 22 = 51 - 22 = 29

x + 12 = 17 + 12 = 29

as u can see, all sides measure 29 inches