Special Right Triangles

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5

In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?

• It is the same length as the given leg.

• Multiply that leg's length by √2.

• Multiply that leg's length by 2.

• Divide that leg's length by √2.

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

• 4√2

• 4

• 8

• 4√3

I have been given a hypotenuse in this 45-45-90 triangle.  How do I find the length of a leg of the triangle?

• Multiply by √2

• Divide by √2

• It's the same length as the hypotenuse.

• Divide by 2

Find the value of y.

• 7

• 7√3

• 14√3

• (14√3)/3

• A
• B
• C
• D

Solve for x and y in the special right triangle.

• y = 4, x = 4√3

• y = 4√2, x = 4√2

• y = 4 x = 12

• y = 8/√3, x = 16/√3

I have been given the short leg in this 30-60-90 triangle. How do I find the long leg (y)?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by 2

Find x - the length of the hypotenuse of the triangle.

• 5

• 5√2

• 10

• 5√3

Find the value of x.

• 18

• 18√3

• 36√3

• 12