Special Right Triangles and Sohcahtoa Precalculus

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 measure of side c?

• 6

• 6√2

• 6√3

• 12

Find x.

• 10

• 20

• 10√3

• √3

Choose the correct values for x and y in the right triangle.

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

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

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

• 4

• u

• v

How long is side c?

• 1

• 2

Find x.

• 30°

• 60°

• 90°

• 180°

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Isosceles

• Obtuse