Question

I need help please I dont get this

Answer 1

Explanation:

Since this is a 30-60-90 triangle, we need the Pythagorean triple for such a triangle. the side length across from the 30 degree angle is labeled as x, the side across from the 60 degree angle is x√3, and the hypotenuse is 2x. Since we know the side length of the side across from the 60 degree angle, we use that identity and solve for x:

`x√(3)=18` and

`x=(18)/(√(3) )` and rationalizing the denominator,

`x=(18)/(√(3) )*(√(3) )/(√(3) )=(18√(3) )/(3)=6√(3)`

This is the side length of the side across from the 30 degree angle. In order to find the hypotenuse, we have to multiply this value by 2 to get

12√3, the third choice down.