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

• 16

• 8

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

• 4

• 8

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

• 6

• 3

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

• 6√2

• 3√3

• 12

• 6√3

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

• a = 7√3

• a = 7√2

• a = 14

• a = 14√3

Determine the value of x.

• x = 10√2

• x = 10

• x = 5√3

• x = 5√6

What is the exact side length of a square that has a diagonal of 18?

• 9

• 18√2

• 9√2

• √2

An equilateral triangle has a height of 15. What is the exact length of the one side of the equilateral triangle?

• 5√3

• 10√3

• 30√3

• 10