Special Right Triangles and the Unit Circle

Find x.

• 10

• √3

• 5

• 10√3

Find x.

• 4

• 2

• √3

• 2√2

Find x.

• 12

• √2

• √3

• 6

We can use SOH-CAH-TOA for...

• Any triangle ever

• Non-right triangles only

• Right Triangles only

• Never

Choose the correct ratio.

• sin(37)=x/14

• cos(37)=x/14

• tan(37)=x/14

• sin(37)=14/x

Identify the angle of rotation

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