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ladessa [460]
3 years ago
8

30 points! Find the length of side x in simplest radical form with a rational denominator.

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
6 0

Answer:

2sqrt(3)

Step-by-step explanation:

cos(30) = adjacent/hypotenuse

sqrt(3)/2 = x/4

x = 4 × sqrt(3)/2

x = 2sqrt(3)

sqrt: square root

DiKsa [7]3 years ago
5 0

Answer:

2 sqrt(3) = x

Step-by-step explanation:

We know that

sin theta = opp side / hypotenuse

sin 60 = x /4

Multiply each side by 4

4 sin 60 = x

We know

sin 60 = sqrt(3) /2

4 *  sqrt(3) /2 = x

2 sqrt(3) = x

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