45-45-90 Theorem

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

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

• 8√2
• 4√2
• 4
• 8

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

• 4√2
• 4
• 8
• 4√3

What is the value of x?

• 2
• 18
• 2√9
• 9√2

Find the missing side lengths.

• a = 4, b = 4
• a = 4, b = 2√2
• a = 2√2,  b = 4
• a = 4, b = 4

Use the 45-45-90 theorem to solve for the hypotenuse.

• 16

• 8

• 8√2

• √16

Find a - the length of the hypotenuse.

• 2√6
• 2√3
• 3
• 6

Sam's square bedroom has a diagonal of 9√2 feet.  What is the length of each side?

• 18
• 3√2
• 9
• 12.7

A square has a perimeter of 32 inches.  What is the length of the diagonal?

• 16
• 4√2 in
• 32√2 in
• 8√2 in

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