Pythagorean Theorem for 45-45-90 Triangles

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

Find the value of y.

• 11√2
• 11
• 22
• (11√2)/2

What is the value of x?

• 2

• 18

• 2√9

• 9√2

• 9

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

Solve for a and b in the special right triangle.

• a = 5, b = 5
• a = 10, b = 10√2
• a = 10√2, b = 10√2
• a = 5√2, b = 5√2

Find the value of x.

• 3√2

• 3

• 6√2

• 6

What is the value of x?

• 12√2
• 2√12
• 24
• 2