Right Triangle and Special Right Triangles

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

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

What type of special right triangle is this?

• 45-45-90

• 30-60-90

• not a special right triangle

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 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

What is the measure of side c?

• 6

• 6√2

• 6√3

• 12

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

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

What is the measure of side b?

• 5

• 10√2

• 5√2

Find x.

• 45°

• 90°

• 30°

• 60°