Special Right Triangles Applications

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

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

I have been given the hypotenuse in this 30-60-90 triangle.  How do I find the short leg?

• Multiply 6 by 2

• Multiply 6 by √3

• Divide 6 by 2

• Divide 6 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 are a and b in this 30-60-90 triangle?

• b=3.5√3 a = 7√3

• b = 7 a = 7√2

• b = 7 a = 14

• b = 7√3 a = 14√3

Which side is the short leg of this 30-60-90 triangle?

• 6

• m

• n