The value of the length of BC is 45 units
<h3>How to determine the length BC?</h3>
The given parameters are:
BC = 15x
AD = 32x - 2
EF = 20.5x + 8
Where the parallel bases are AD and BC and the midsegment is EF
By the midsegment theorem, we have
2 * EF = AD + BC
Substitute the known values in the above equation
2 * (20.5x + 8) = 15x + 32x -2
Open the bracket
41x + 16 = 15x + 32x - 2
Evaluate the like terms
6x = 18
Divide both sides by 6
x = 3
Substitute x = 3 in BC = 15x
BC = 15 * 3
Evaluate
BC = 45
Hence, the value of the length of BC is 45 units
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