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1 year ago

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

Mathematics

1 answer:

mylen [45]1 year ago

6 0

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

<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>

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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3 years ago

Can someone please tell me the answer on this.

marishachu [46]

Answer: x = 31

Step-By-Step:

<u /> $\left(2x+20\right)+\left(x+10\right)+\left(2x-5\right)=180$ (Angle Sum Property Of Triangles)

(Remove the brackets)

(Group Accordingly)

= $5x+20+10-5=180$

= $5x\:+\:25$ $=180$

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So,

Angle A = x + 10 = 31 + 10 = 41

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2 years ago

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Translation:
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3 years ago

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Given :

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To Find :

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Solution :

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Therefore, the value on her gift card decreased by 149 dollars.

Hence, this is the required solution.

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3 years ago