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14-05-2017
Mathematics

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Each leg of 45 degree -45 degree -90 degree triangle measure 12 cm what is the length of the hypotenuse

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mjankiewicz mjankiewicz

14-05-2017

a = b = 12 cm

Pythagorean theorem

[tex]a^2+b^2=c^2\\\\ c^2=a^2+a^2\\\\ c^2=2a^2\\\\ c=\sqrt{2a^2}[/tex]

[tex]c=a\sqrt2 [/tex] formula

[tex]c=12\sqrt{2} \ (cm)[/tex] <-- Answer

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