Trig, triangle find x question

Question

I have a triangle I need to solve for x. The given information is this:

One angle is 60 and one angle is 90

The angle opposite 60 is x

The hypotenuse is 2sqrt(3)

Thank you!

Answer 1

Your given triangle is a 30-60-90 triangle, which tells us the hypotenuse is twice as big as the shorter leg, and the longer leg is √3 times as much as the shorter leg.

The angle opposite 60° will be the longer leg, so the shorter length would be √3 units, making the longer leg have a length of x = √3*√3 = 3 units.

Hope this helped!