Question

In the 30-60-90 triangle below, side s has a length of________ and side q has a length of_______

A. 16√3, 5
B. 8-5, 16
C. 4, 8√3
D. 4√2, 4√2
E. 4, 4 √3
F. 16√3, 16√3

Answer 1

E. 4,4 3
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Answer 2

Answer: Option (E)

4, 4√3

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Reason:

The hypotenuse is 8. Half of that is 8/2 = 4, which is the value of "s".

This is the short leg of the right triangle. The short leg is opposite the 30 degree angle. Smallest side opposite the smallest angle.

Then use this 30-60-90 triangle template formula

`\text{long leg} = (\text{short leg})*√(3)\\\\\text{long leg} = 4√(3)\\\\`