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Use the diagram on the right to calculate the value of x - Junior Cycle Mathematics - Question i - 2011

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Use the diagram on the right to calculate the value of x. Give your answer in surd form. $$x = \sqrt{3^2 + 3^2}$$ We identify this as a right triangle where: - The... show full transcript

Worked Solution & Example Answer:Use the diagram on the right to calculate the value of x - Junior Cycle Mathematics - Question i - 2011

Step 1

Use the diagram on the right to calculate the value of x. Give your answer in surd form.

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Answer

By applying the Pythagorean theorem, we find:

x=32+32=9+9=18=32x = \sqrt{3^2 + 3^2} = \sqrt{9 + 9} = \sqrt{18} = 3\sqrt{2}

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