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spin [16.1K]
3 years ago
13

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0

Answer:

x = 5\sqrt{2}

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = \frac{1}{\sqrt{2} } , then

cos45° = \frac{adjacent}{hypotenuse} = \frac{5}{x} = \frac{1}{\sqrt{2} } ( cross- multiply )

x = 5\sqrt{2}

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