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

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 a hypotenuse in this 45-45-90 triangle.  How do I find the length of a leg of the triangle?

• Multiply by √2
• Divide by √2
• It's the same length as the hypotenuse.
• Divide by 2

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

• 8√2
• 4√2
• 4
• 8

What type of special triangle is this?

• 45°-45°-90°
• 30°-60°-90°
• Equiangular
• Equilateral

Find x.

• 10
• √3
• 5
• 10√3

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

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 = 6 y = 3√2

Find the value of x.

• 18
• 18√3
• 36√3
• 12

Find x - the length of the hypotenuse of the triangle.

• 5
• 5√2
• 10
• 5√3