Answer:
x=8√3 units
y=4√3 units
Step-by-step explanation:
Since the given right triangle happens to be a 30-60-90 triangle, we will use the following rules:
Hypotenuse = 2s (x)
Longer Leg = s√3 (12)
Shorter Leg = s (y)
Since the longer leg is given to us as 12 units, we can then solve for the shorter leg:
12 = s√3
12/√3 = s
(12√3)/3 = s
4√3 = s
Therefore, our hypotenuse is 2(4√3) = 8√3 units
Thus, x=8√3 units and y=4√3 units
