45 45 90 Triangle Practice

Is the side with labeled with x a leg or the hypotenuse?

• leg

• hypotenuse

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5

Find the length of side x

• 14

• 14√2

• 2√2

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

• 8√2

• 4√2

• 4

• 8

Solve for x in fully simplified form.

• 17√2

• 34

• 2√17

• 17√3

Is the side with labeled with x a leg or the hypotenuse?

• leg

• hypotenuse

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

Find the value of y.

• 11√2

• 11

• 22

• (11√2)/2

Solve for x in fully simplified form.

• 20

• 20√2

• 40

• 20 / √2

Find a and b. You’ll have to rationalize the denominator on this problem.

• a = 5, b = 5

• a = 10, b = 10√2

• a = 10√2, b = 10√2

• a = 5√2, b = 5√2