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.

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

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 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 type of special triangle is this?

(Never assume the triangle is drawn to scale.)

• 45°-45°-90°

• 30°-60°-90°

• Isosceles

• Obtuse

Find x.

• 30°

• 60°

• 90°

• 180°

Find x.

• 10

• √3

• 5

• 10√3

Find x.

• 4

• 2

• √3

• 2√2