Special Right Triangles

In this 45-45-90 triangle, I have been given a leg, so to find the other leg, what would I have to do?

• Multiply that leg by 2
• Use the same length for the second leg
• Multiply that leg by √2
• Divide that leg by √2

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.

In this 45-45-90 triangle, I have been given the length of the hypotenuse.  How would I find the length of the legs?

• multiply the hypotenuse by √2
• divide the hypotenuse by √2
• Divide the hypotenuse by 2
• divide the hypotenuse by √3

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

What is the exact side length of a square that has a diagonal of 18?

• 9

• 18√2

• 9√2

• √2

Find x.

• 30°
• 60°
• 90°
• 180°

Find x.

• 10
• √3
• 5
• 10√3