Question

The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.

Answer 1

The length of side x in simplest radical form with a rational denominator is 8√3

How to find the length of side x in simplest radical form with a rational denominator?

The given parameters are:

Triangle type = Equilateral triangle

Height (h) = 12

Missing side length = x

The missing side length, x is calculated using the following sine ratio

sin(60) = Height/Missing side length

This gives

sin(60) = 12/x

Make x the subject of the formula

So, we have

x = 12/sin(60)

Evaluate the quotient

So, we have

x = 12/(√3/2)

This gives

x = 24/√3

Rationalize

x = 24/√3 * √3/√3

Evaluate

x = 8√3

Hence, the length of side x in simplest radical form with a rational denominator is 8√3

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brainly.com/question/2437195

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