Question

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

Answer 1

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.