Special Right Triangles

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

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

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

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.

Which side is the long leg in this 30-60-90 triangle?

• 4
• u
• v

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 measure of side c?

• 7
• 7/√2
• 7√2
• 14

What is the measure of side b?

• 5
• 10√2
• 5√2
• 10√3

What is the measure of a?

• 3
• 3√3
• 6
• 3√2

Find n.

• 4
• 6
• 12
• 2√3

Find the length of m.

• 4
• 6
• 12
• 2√3