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shtirl [24]
3 years ago
9

Find the length of X in simplest radical form with a rational denominator

Mathematics
1 answer:
Darya [45]3 years ago
6 0

Answer:

x = \sqrt 6

Step-by-step explanation:

Given

The attached triangle

Required

Find x

Considering angle 30 degrees,

Opposite = \sqrt{2

Adjacent = x

Using the tangent formula:

tan\ 30 = \frac{\sqrt 2}{x}

Make x the subject

x = \frac{\sqrt 2}{tan\ 30}

x = \frac{\sqrt 2}{1/\sqrt 3}

x = \sqrt 2 * \sqrt 3

x = \sqrt 6

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