Answer:
i: x=9, y=18
ii: x=3, y=3√2
Step-by-step explanation:
In special right triangles, they have a distinct format for the answers of each side.
In a 30-60-90 triangle, the side across from 30° is x. Across from 60° is x√3. Hypotenuse is 2x.
Notice that we are given the side across from 60°. Meaning, 9√3=x√3. That makes x=9. We can take that and plug them into the sides for x and y to get x=9 and y=18.
In a 45-45-90 triangle, the two sides are x and the hypotenuse is x√2.
Notice that we are actually given a side. That makes x=3 and y=3√2.
