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sdas [7]
4 years ago
5

Find the length of the hypotenuse of 45° -45° -90° triangle with leg length 13 √2.

Mathematics
1 answer:
kolezko [41]4 years ago
4 0

Answer:

We use the Pythagorean theorem in the isosceles right triangle:

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

Step-by-step explanation:

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