Answer:
see explanation
Explanation:
given B is the midpoint of AC , then
AB = BC ( substitute values )
2x - 8 = x + 17 ( subtract x from both sides )
x - 8 = 17 ( add 8 to both sides )
x = 25
Then
AB = 2x - 8 = 2(25) - 8 = 50 - 8 = 42
BC = x + 17 = 25 + 17 = 42
AC = AB + BC = 42 + 42 = 84
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Similarly
AB = BC = x + 6 and
AC = AB + BC ( substitute values )
3x - 31 = x + 6 + x + 6 ( simplify right side )
3x - 31 = 2x + 12 ( subtract 2x from both sides )
x - 31 = 12 ( add 31 to both sides )
x = 43
Then
AB = x + 6 = 43 + 6 = 49
BC = AB = 49
AC = AB + BC = 49 + 49 = 98