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Answer:
AB=6√3cm
Step-by-step explanation:
the explanation is in the constructed figure
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In Δ ACD and Δ ABC
∠ACB = ∠CDA (given in the question)
∠CAB = ∠DAC (same angles)
=> ∠ACD = ∠ABC (since the other two angles are equal respectively, so the 3rd must be equal too)
So, Δ ACD and Δ ABC are similar triangle using the AAA property.
=> AC/AD = AB/AC
=> 6/3 = AB/6
=> AB = (6 × 6)/3
=> AB = 12 cm
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