Special Triangles, Pythagorean Theorem

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

• 8√2

• 4√2

• 4

• 8

What is the length of u and v in this 30-60-90 triangle?

• u = 8 v = 4√3

• u = 4√2 v = 8

• u = 16 v = 8

• u = 4√3 v = 8

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

• Multiply 7 by 2

• Multiply 7 by √3

• Divide 7 by 2

• Divide 7 by √3

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

• Divide 8 by √3

• Divide 8 by 2

• Divide 8 by 2, then multiply that answer by √2

• Divide 8 by √3, then multiply that answer by 2

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5

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

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

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