Question

What is the value of y?

Answer 1

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Answer 2

`{y} = 6√(3) \:units`

Explanation:

By Pythagoras Theorem:

`{y}^(2) = {(9 + 3)}^(2) - {(6)}^(2) \\ \\ {y}^(2) = {(12)}^(2) - {(6)}^(2) \\ \\ {y}^(2) = 144 - 36 \\ \\ {y}^(2) = 108 \\ \\ {y} = √(108) \\ \\ {y} = √(36 * 3) \\ \\ {y} = \sqrt{ {6}^(2) * 3} \\ \\ {y} = 6√(3)\:units`