Composite Figures and Special Right Triangles

To easily solve for the composite figures of right triangles, what is the first step to do?

• illustrate

• write the given

• separate the triangles

• none of the above

Find the value of x.

Find the value of side CA. Express your answer into two decimal places.

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 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

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