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How do i do this it’s geometry

How do i do this it’s geometry-example-1
User Leovp
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1 Answer

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Answer:

Therefore the length of side x in simplest radical form with a rational denominator is


x=2√(6)

Explanation:

Given:

Consider right triangle ABC

∠A = 60°

∠B = 90°

∠C = 30°


AB=√(8)

To Find:

BC = x = ?

Solution:

In Right Angle Triangle ABC Tan Identity


\tan C= \frac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}

Substituting the values we get


\tan 30 = (AB)/(BC)


(1)/(√(3))=(√(8))/(x)\\\\x=√(3)* √(8)=√(24)=2√(6)

Therefore the length of side x in simplest radical form with a rational denominator is


x=2√(6)

How do i do this it’s geometry-example-1
User Vytis
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6.5k points