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aniked [119]
3 years ago
11

The triangle below is equilateral. Find the length of side 2 in simplest radical form

Mathematics
1 answer:
Masteriza [31]3 years ago
5 0

Answer:

x=\frac{4\sqrt{3}}{3}

Step-by-step explanation:

From the figure attached,

ΔABC is an equilateral triangle.

Therefore, by the property of the equilateral triangle,

Measure of each angle = 60°

By applying tangent rule in the right triangle ADC,

\text{tan}(60^{\circ})=\frac{\text{Opposite side}}{\text{Adjacent side}}

\sqrt{3}=\frac{4}{x}

x=\frac{4}{\sqrt{3}}

x=\frac{4}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3} }

x=\frac{4\sqrt{3}}{3}

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