Special Right Triangle

Multiple Choice

If you are given the LEG of a 45-45-90 triangle, how do you find the HYPOTENUSE?

• Multiply by 2

• Divide by 2

• Multiply by √2

• Divide by √2

Multiple Choice

If you are given the HYPOTENUSE of a 45-45-90 triangle, how do you find the LEG?

• Multiply by 2

• Divide by 2

• Multiply by √2

• Divide by √2

Multiple Choice

If you are given the LEG of a 45-45-90 triangle, how do you find the OTHER LEG?

• Multiply by √2

• Divide by √2

• They're congruent

Multiple Choice

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5

Multiple Choice

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

• 8√2

• 4√2

• 4

• 8

Multiple Choice

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

• 4√2

• 4

• 8

• 4√3

Multiple Choice

Find the value of y.

• 11√2
• 11
• 22
• (11√2)/2

Multiple Choice

What is the value of x?

• 2

• 18

• 2√9

• 
  

  $$\frac{18}{\sqrt{2}}$$

Multiple Choice

If you are given the SHORT LEG of a 30-60-90 triangle, how do you find the HYPOTENUSE?

• Multiply by 2

• Divide by 2

• Multiply by √3

• Divide by √3

Multiple Choice

If you are given the SHORT LEG of a 30-60-90 triangle, how do you find the LONG LEG?

• Multiply by 2

• Divide by 2

• Multiply by √3

• Divide by √3

Multiple Choice

Which side is the long leg in this 30-60-90 triangle? (not the hypotenuse)

• 4

• u

• v

Multiple Choice

Find x.

• 10

• 10√3

• 10√2

• 20

Multiple Choice

Find x.

• 22

• $$11\sqrt{3}$$

• $$11\sqrt{2}$$

• 11

Multiple Choice

Find a.

• 12

• 24

• $$24\sqrt{3}$$

• 16

Multiple Choice

Find a.

• 9

• $$9\sqrt{3}$$

• $$\frac{9}{2}$$

• $$6\sqrt{3}$$

Multiple Choice

Find x.

• 9

• $$3\sqrt{3}$$

• 6

• $$6\sqrt{3}$$

Multiple Choice

Find y.

• 6

• 24

• $$12\sqrt{3}$$

• $$6\sqrt{3}$$

Multiple Choice

Find the value of m and n.

• m = 24√3, n = 24

• m = 6√3, n = 6

• m = 24/√3, n = 24