Quiz on 45-45-90 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.

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 x - the length of the hypotenuse of the triangle.

• 5
• 5√2
• 10
• 5√3

A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.

• 134.4
• 67.2
• 95√2
• (95√2)/2

What is the value of x?

• 12√2
• 2√12
• 24
• 2

• q = 14 p = 14√2
• q = 7 p = 7√2
• q = 7 p = 7√2
• q =  p = 14√2