Ineed to find the missing side length in special right triangles

Use Cosine to find 'n'.



Plug in what we know:



Simplify the cosine of 45 degrees and 6 times the square root of 2:



Multiply 8.48528137 to both sides:



Now that we have 'n', we can use the Pythagorean Theorem to find 'm'.



Where 'a' and 'b' are the two legs of the right triangle and 'c' is the hypotenuse.

Plug in what we know:



Simplify the exponents:



Subtract 36 to both sides:



Find the square root of both sides:





So 'n' and 'm' are both equal to 6.

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