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Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

Find the value of the variable. If your answer is not an integer, leave it in simplest-example-1
User Rymnel
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1 Answer

4 votes

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

Since we have the short leg, to find the hypotenuse, or y in this case, multiply the short leg by 2:

17 × 2 = 34

Next, to find the long leg, or x in this case, multiply the short leg by √3:

17 × √3 = 17√3

In short, x = 17√3 and y = 34. The correct option is the last option.

User Shahid Ghafoor
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