misskylie2003 misskylie2003

19-02-2019
Mathematics

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find the length of the hypotenuse of 45° -45° -90° triangle with leg length 13 √2.
SOMEONE PLEASE help

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crisforp crisforp

19-02-2019

Answer:

We use the Pythagorean theorem in the isosceles right triangle:

[tex]( 13\sqrt{2} )^{2} = l^{2} + l^{2} ;\\Then, 338 = 2l^{2} ;l^{2} = 169;\\l = \sqrt{169};\\ l = 13;[/tex]

Step-by-step explanation:

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