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01-08-2018
Mathematics

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Please someone help me answer my question need help

Please someone help me answer my question need help class=

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01-08-2018

Look at the picture.

The triangle ADC and the triangle CDB are similar.

Therefore corresponding sides are all in the same proportion:

[tex]\dfrac{y}{4}=\dfrac{12}{y}\ \ \ \ |cross\ multiply\\\\y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\cdot\sqrt3\\\\y=4\sqrt3[/tex]

Answer: 4√3

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