The value of AB in the shape will be ✓73.
It should be noted that we can use the Pythagoras theorem.
BD² = DC² + BC²
5² = DC² + 3²
DC = ✓(25 - 9)
DC = ✓16
DC = 4
Therefore,
AB² = AC² + BC²
AB² = 8² + 3²
AB² = 64 + 9
AB² = 73
AB = ✓73
Therefore, the value of AB in the shape will be ✓73.
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