Special Right Triangles

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5

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

• 4√2

• 4

• 8

• 4√3

In this isosceles triangle, what is the length of x?

• 8√2

• $\frac{8}{\sqrt{2}}$

• 16

• 8

Which is the length of v in this 30-60-90 triangle?

• $4\sqrt{3}$

• 4

• 8

• $4\sqrt{2}$

What is the length of the short leg of this 30-60-90 triangle?

• 6

• $\frac{6}{\sqrt{3}}$

• 3

• $\frac{6}{\sqrt{2}}$

In this 30-60-90 triangle, what is the length of the hypotenuse?

• 4√2

• 4√3

• 4

• 8

In this 30-60-90 triangle, what is the length of the long leg?

• 6√2

• 3√3

• 12

• 6√3

What is x in this 30-60-90 triangle?

• x = 6

• x = 3√2

• x = 3√3

• x = 3√3

What is a in this 30-60-90 triangle?

• a = 7√3

• a = 7√2

• a = 14

• a = 14√3

Find x.

• 10

• 10√3

• 10√2

• 20