Answer:
The missing sides are 3 and √3
Step-by-step explanation:
The given triangle is a right triangle. The diagram showing the labelled triangle is shown below
Taking angle 60 as the reference,
hypotenuse = 2√3
opposite side = x
adjacent side = y
To find x, we would apply the sine trigonometric ratio which is expressed as
sinθ = opposite side/hypotenuse
Sin60 = x/2√3
By cross multiplying,
x = 2√3 * sin60 = 2√3 * √3/2
x = 3
To find y, we would apply the cosine trigonometric ratio which is expressed as
sinθ = adjacent side/hypotenuse
Cos60 = y/2√3
By cross multiplying,
y = 2√3 * Cos60 = 2√3 * 1/2
y = √3