The value of AB in the geometry is 24 units.
How to find the length AB using geometry?
According to the diagram,
BD ≅ BC
BD = 5x - 26
BC = 2x + 1
AC = 43
Therefore, the value of AB can be found using the knowledge of geometry.
BD = BC
5x - 26 = 2x + 1
5x - 2x = 1 + 26
3x = 27
divide both sides by 3
x = 27 / 3
x = 9
Therefore,
BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19
AC = BC + AB
AB = AC - BC
AB = 43 - 19
AB = 24 units
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