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Please help need to finish ASAP

Please help need to finish ASAP-example-1

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Look at the picture.

The triangle ADC and the triangle CDB are similar.

Therefore corresponding sides are all in the same proportion:


(y)/(4)=(12)/(y)\ \ \ \ |cross\ multiply\\\\y^2=48\to y=√(48)\\\\y=√(16\cdot3)\\\\y=√(16)\cdot\sqrt3\\\\y=4\sqrt3

Answer: 4√3

Please help need to finish ASAP-example-1
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