Answer: 5[tex]\sqrt{3\\}[/tex]
Step-by-step explanation:
This triangle is a 30-60-90 triangle. This means that: x = 2a where a is the shorter leg of the triangle and x is the hypotenuse, and b = a[tex]\sqrt{3\\}[/tex] where b is the longer leg of the triangle.
Hypotenuse = 2 * the length of the shorter leg
Longer leg = [tex]\sqrt{3\\}[/tex] * the length of the shorter leg.
Since just visually speaking, y is the longer leg and 5 is the shorter leg, let's substitute y and 5 into the equation solving for the length of the longer side:
y = [tex]\sqrt{3\\}[/tex] * 5
y = 5[tex]\sqrt{3\\}[/tex]
