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luda_lava [24]
3 years ago
15

What is the value of x?

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
3 0

Answer:

5\sqrt{3}

Step-by-step explanation:

A triangle with angles of 30-60-90 will always have sides that measure in the following proportions:

The side opposite the 30* angle = a

The side opposite the 60* angle = a\sqrt{3}

The side opposite the 90* angle = 2a

(I used "a" here because your question uses "x" and I don't want to confuse things, but usually people use "x" rather than "a")

They gave us that the hypotenuse (the side opposite the 90* angle) is 10, from there we can figure out the other sides:

Since the side opposite 90* is 2a, and 2a = 10, divide 10 by 2 and you get a = 5.

Once we know what "a" is, we can fill in the rest:

30* = 5

60* = 5\sqrt{3}

90* = 10

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7 0
3 years ago
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Step by step directions Square root for 480
m_a_m_a [10]
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