Special R. Triangles and Angles in Standard Position

What is the length of x in this 45-45-90 triangle?

• 4√2
• 4
• 8
• 4√3

What is the length of y in this 45-45-90 triangle?

• 8√2
• 4√2
• 4
• 8

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

• Multiply 4 by 2
• Multiply 4 by √3
• Multiply 4 by √2
• Divide 4 by 2

Find the value of x.

• 9

• 2√3

• 1

• 3

Find x.

• 10
• √3
• 5
• 10√3

Find the missing side length. Leave your answer in simplified radical form.

Find the value of x.

• 2

• 4

Find a.

• 2√3
• 2
• 12
• 6

What is the value of x?

• 12√2
• 2√12
• 24
• 2

Which side is the long leg in this 30-60-90 triangle? (not the hypotenuse)

• 4
• u
• v