Special Right Triangles

Find n.

• 4

• 6

• 12

• 2√3

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

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 length of the hypotenuse?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by √3

What are x and y in this 30-60-90 triangle?

• x = 6 y = 3√3

• x = 1.5√3 y =1.5

• x = 3√3 y = 6

• x = √3 y = 2√3

What are u and v in this 30-60-90 triangle?

• v = 2√3 u = 6

• v = 4 u = 4√3

• v = 4 u = 4√2

• v = 4√3 u = 8√3

What type of special right triangle is this?

• Isoceles right

• 30-60-90

• not a special right triangle