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Find the value of the variables. If your answer is an integer, leave it in simplest radical form.

Find the value of the variables. If your answer is an integer, leave it in simplest-example-1
User Chanandrei
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1 Answer

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Method 1

It's the triangle 30 - 60 - 90. The lengths of a side are in proportion 1 : √3 : 2.

6 : 6√3 : 12

Answer: 6√3

Method 2:

Use the Pyhagorean theorem:


x^2+6^2=12^2\\\\x^2+36=144\ \ \ \ |-36\\\\x^2=108\to x=√(108)\\\\x=√(36\cdot3)\\\\x=√(36)\cdot\sqrt3\\\\\boxed{x=6\sqrt3}

User Aromore
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