Special Triangle Theorem

solve for x

• 5552363959656.

• 10

• 100

• 89

solve for the value of y

• 13

• 5

• 23

• 10

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 y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8

Which side is the long leg in this 30-60-90 triangle?

• 4

• u

• v

Which side is the short leg of this 30-60-90 triangle?

• 6

• m

• n

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

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by 2

I have been given the short leg in this 30-60-90 triangle.  How do I find the length of the hypotenuse?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by √3

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

• Multiply 7 by 2

• Multiply 7 by √3

• Divide 7 by 2

• Divide 7 by √3