Answer:
x = 12
ST = 23 units
SU = 23 units
TU = 23 units
Step-by-step explanation:
For an equilateral triangle, all the angles are equal. Also, all the sides are equal.
Hence given that the sides ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than x
ST = 2x - 1
SU = 5x - 37
TU = x + 11
Since ST = SU = TU
2x - 1 = 5x - 37
collect like terms
37 - 1 = 5x - 2x
36 = 3x
Divide both 3
36/3 = x
x = 12
Therefore
ST = 2x - 1 = 2(12) - 1 = 23 units
SU = 5x - 37 = 5(12) - 37 = 23 units
TU = x + 11 = 12 + 11 = 23 units
