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JulijaS [17]
2 years ago
6

What are the values of x and y?

Mathematics
1 answer:
Vesna [10]2 years ago
3 0

Answer:

B)   x = 8\sqrt{3} ;  y = 4\sqrt{3}

Step-by-step explanation:

in a 30-60-90° triangle the sides, respectively, are in the ratio of

1 : \sqrt{3} : 2

we can find 'x' by creating this proportion:

12/\sqrt{3} = x/2

cross-multiply to get:

\sqrt{3}x = 24

x = 24/\sqrt{3}

we can simplify this by 'rationalizing the denominator' which is to

multiply numerator and denominator by \sqrt{3} to get:

(24\sqrt{3})÷3, which is 8\sqrt{3}

we know that side 'y' is half that of side 'x'

therefore y = 4\sqrt{3}

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