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23-07-2018
Mathematics

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Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. Given = 3 square 2

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23-07-2018

As the Pythagoreans discovered to their horror, the sides of the isosceles right triangle are in ratio [tex]1:1:\sqrt 2[/tex].

The hypotenuse is [tex]\sqrt 2[/tex] times the leg, so here is

[tex]3 \sqrt{2} \times \sqrt{2} = 6[/tex]

Answer: 6

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