Sohcahtoa Special Triangles

Find x.

• 22

• 11√3

• 11√2

• 11

Find the length of the missing side. 

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Find cosA

• 30/16

• 30/34

• 30/15

• 16/34

Find tanZ

• 35/21

• 21/28

• 35/28

• 28/21

Find a.

• 5

• √2

• 5√2

• 2

Find a.

• 12

• 24

• 24√3

• 16

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.

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

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