Pythagorean and Special Triangles

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

• Multiply that leg by 2

• Use the same length for the second leg

• Multiply that leg by √2

• Divide that leg 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

Acute, right, or obtuse

• Acute

• Right

• Obtuse

• I don't know

Find the value of y to the nearest tenth.

• 4.5

• 3.2

• 2.3

• 5

What is the value of y?

• 8√2

• 2√2

• 12

• 16

What is the value of y?

• 3√2

• 4√3

• 6

• 1

Find the value of y.

• 8

• 4

• 2√3

• 8√3

What is the value of x?

• 2

• 18

• 2√9

• 9√2

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.