Sohcahtoa and Special Right Triangles

Find x.

• 9.28

• 2.87

• 2.97

• 8.76

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 hypotenuse in this 30-60-90 triangle.  How do I find the short leg?

• Multiply 6 by 2

• Multiply 6 by √3

• Divide 6 by 2

• Divide 6 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

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

• Divide 8 by √3

• Divide 8 by 2

• Divide 8 by 2, then multiply that answer by √2

• Divide 8 by √3, then multiply that answer by 2

What are x and y in this 30-60-90 triangle?

• x = 6 y = 3√3

• x = 1.5√3 y =1.5

• x = 3√3 y = 6

• x = √3 y = 2√3

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

• Multiply that leg by 2

• Use the same length for the second leg

• Multiply that leg by √2

• Divide that leg by √2

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

• 4

• u

• v