Special Right Triangles

​Special Right Triangles

By Mallory Magee

Multiple Choice

Is this a 45-45-90 triangle?

• Yes

• No

• No clue

Multiple Choice

Is this a 45-45-90 triangle?

• Yes

• No

• No clue

Multiple Choice

Is this a 45-45-90 triangle?

• Yes

• No

• No clue

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

Use the 45-45-90 theorem to solve for the hypotenuse.

• 16

• 8

• 8√2

• √16

Multiple Choice

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

• 4
• u
• v

Multiple Choice

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

• 6
• m
• n

Multiple Choice

What type of special triangle is this?

• 45°-45°-90°
• 30°-60°-90°
• Isosceles
• Obtuse

Multiple Choice

Find x.

• 30°
• 60°
• 90°
• 180°

Multiple Choice

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

• 4

• u

• v

Multiple Choice

You have been given the short leg in this 30-60-90 triangle. How do you find the length of the hypotenuse?

• Multiply the short leg by 2 ---> 2n

• Multiply the short leg by √3 -----> n√3

• Multiply the short leg by √2 -----> n√2

• Divide by the short leg by 2 ---> n/2

Multiple Choice

You have been given the short leg in this 30-60-90 triangle. How do you find the length of the hypotenuse?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

Multiple Choice

Find x.

• 22
• 11√3
• 11√2

Multiple Choice

Find x.

• 10
• 10√2
• 5√3

Multiple Choice

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

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

Multiple Choice

You have been given the hypotenuse in this 30-60-90 triangle. What is the measure of the short leg?

• 3

• 7

• 14

• 24