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Please help quick. Please show all work

Please help quick. Please show all work-example-1
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User Slosd
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Answer:

c = 14 in.

Explanation:

We know from the 30-60-90 Triangle Theorem that the side opposite the 30° angle is x and the side opposite the 60° angle is x√3, so 7 must be x. We further know that according to the theorem, the side opposite the 90° or right angle (aka the hypotenuse) is 2x. Since x is 7 in the diagram, the length of the hypotenuse must be 14 in as 2 * 7 = 14.

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User Crazybilly
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