Question

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

with a rational denominator.
x
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Answer: 2
attempt 1 out of 2
PLS HELP

Answer 1

`x=(4√(3))/(3)`

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}}`

`√(3)=(4)/(x)`

`x=(4)/(√(3))`

`x=(4)/(√(3))* (√(3))/(√(3) )`

`x=(4√(3))/(3)`