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dem82 [27]
3 years ago
12

Help Please See the picture

Mathematics
1 answer:
earnstyle [38]3 years ago
7 0

Answer:

\frac{4}{3}\sqrt{3}

Step-by-step explanation:

the ratio of sides of a 30-60-90° triangle, respectively, are 1 : \sqrt{3} : 2

we can solve for 'x' using this proportion:

x/4 = 1/\sqrt{3}

now cross-multiply:

\sqrt{3}x = 4

x = 4/\sqrt{3}

we don't want to leave a radical in the denominator so we can multiply numerator and denominator by \sqrt{3} to get:

4\sqrt{3} / 3 or \frac{4}{3}\sqrt{3}

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