Question

Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.

Answer 1

Answer:

x = 6

y = 3

Step-by-step explanation:

Give triangle is a right triangle.

By applying sine ratio in the given triangle,

sin(60)° = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

$\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}$

x = 6

Now we take the cosine ratio in the given triangle,

cos(60)° = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

$\frac{1}{2}=\frac{y}{x}$

y = $\frac{x}{2}$

y = $\frac{6}{2}=3$

Therefore, x = 6 and y = 3 will be the answer.