Right Triangles Special

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.

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

• 4√2

• 4

• 8

• 4√3

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

• A
• B
• C
• D

Find x.

• 4

• 2

• √3

• 2√2

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

• 5

• 5√2

• 10

• 5√3

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

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by 2

Find a.

• 5

• √2

• 5√2

• 2

What is the length of x in this picture?

• 3√3

• 3

• 6

• 3√2