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  • 09-04-2018
  • Mathematics
contestada

What is the measure of the hypotenuse of an isosceles right triangle with leg lengths 6.

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gmany
gmany gmany
  • 28-07-2018

Look at the picture.

Use the Pitagorean theorem:

[tex]b^2=6^2+6^2\\\\b^2=36+36\\\\b^2=36\cdot2\to b=\sqrt{36\cdot2}\\\\b=\sqrt{36}\cdot\sqrt2\\\\b=6\sqrt2[/tex]

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