Special Right Triangles Review

In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?

• It is the same length as the given leg.
• Multiply that leg's length by √2.
• Multiply that leg's length by 2.
• Divide that leg's length by √2.

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

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

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

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

• 8√2
• 4√2
• 4
• 8

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

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

• 4√2
• 4
• 8
• 4√3

Use the 45-45-90 theorem to solve for the hypotenuse.

• 16

• 8

• 8√2

• √16

Find the value of y.

• 7
• 7√3
• 14√3
• (14√3)/3

Find the value of y.

• 8
• 4
• 2√3
• 8√3

Find the value of x.

• 18
• 18√3
• 36√3
• 12