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How?
In the world do you do this it’s very confusing

How? In the world do you do this it’s very confusing-example-1
User Dbuchet
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5.0k points

2 Answers

2 votes

So this triangle is considered a "special triangle". The 30-60-90 triangle rule states that if the short leg is n, then the hypotenuse is 2n and the long leg is n√3.

In this case, since the short leg is 7, x = 14 and y = 7√3. The correct answer that has this is B.

User Hashira
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5.4k points
7 votes

This is a 30° - 60° -90° triangle, which means that the sides will measure: 1, √3, 2.

Note that:

2 is the hypotenuse, opposite of the 90° angle

√3 is the longer side, opposite of the 60° angle

1 is the shortest side, opposite of the 30° angle

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7 is in the place of 1, and is the shortest length measurement.

x is in the place of 2, which is twice the size of the place value of 1, which is 7

x = 7(2)

x = 14

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y is in the place value of √3, which is √3 more than the place value of 1

7 x √3 = 7√3

y = 7√3

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x = 14, y = 7√3, or (B), is your answer

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hope this helps

User Jacquelene
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6.1k points