Geom -special right triangles

Choose the correct values for x and y in the right triangle.

• $x=3\sqrt{3}$

• $x=6$

• $y\ =\ 3\sqrt{3}$

• $y=6$

Choose the correct values for x and y in the right triangle.

• $x=3$

• $x=3\sqrt{2}$

• $y\ =\ 6$

• $y=6\sqrt{2}$

Choose the correct values for x and y in the right triangle.

• $x=\frac{5\sqrt{6}}{2}$

• $x=5$

• $y\ =\ 10$

• $y=10\sqrt{3}$

What are x and y in this 30-60-90 triangle?

• x = 6 y = 3√3
• x = 3√2 y = 3
• x = 3√3 y = 6
• x = 3√3 y = 3√2

Find x.

• 10
• 10√3
• 10√2
• 20

• 3, 6√3
• 3√3, 6
• 3, 6
• 2√3, 4√3

BONUS - Solve for x. 
You will need to use 45-45-90 and 30-60-90 triangles.

• 10√3
• 15
• 5√3
• 15√2

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

• 32√3
• 16√3
• 32
• 16√2

Determine the value of c.

• c = 6√3

• c = 12√3

• c = 18

• c = 18√2

I have been given the long leg in this 30-60-90 triangle.  How do I find the hypotenuse?

• Divide 8 by √3
• Divide 8 by 2
• Divide 8 by 2, then multiply that answer by √2
• Divide 8 by √3, then multiply that answer by 2