Question

Who has the skills...

Answer 1

Its a 30-60-90 triangle, so the pattern is:

Side across from the 30 angle is x
Side across from the 60 angle is x*sqrt(3)
Side across from the 90 angle (hypotenuse) is 2x

The side across from the 60 angle is given to be 5sqrt(3), so x (in the problem) must be 5 following the formula, and y must be 10 bc it must be double side x

Answer 2

I have the skills! :P

In semi equilateral triangle:

The longer leg= square root of 3 times the shorter leg

=> 5sqrt3=sqrt3 (x)
x=5

In semi equilateral triangle:

The hypotenuse= 2( shorter leg)

=> y= 2(5)
y=10