Special Right 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 u and v in this 30-60-90 triangle?

• u = 8 v = 4√3

• u = 4√2 v = 8

• u = 16 v = 8

• u = 4√3 v = 8

What are x and y in this 30-60-90 triangle?

• x = 6 y = 3√3

• x = 1.5√3 y =1.5

• x = 3√3 y = 6

• x = √3 y = 2√3

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 = 3√3 y = 3√2

Find x.

• 10

• 10√3

• 10√2

• 20

Find x.

• 22

• 11√3

• 11√2

• 11

Find a.

• 12

• 24

• 24√3

• 16

Find a.

• 2√3

• 2

• 12

• 6

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

• 16

• 8

• 8√2

• √16