Special Triangle 30-60-90

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

• 4

• u

• v

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

Find x.

• 10

• 10√2

• 5√3

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

• both legs are the same length

• Multiply short leg by 2----> 2n

• Multiply short leg by √2 ----> n√2

• Multiply short leg by √3 ----> n√3

Find x.

• 9

• 3√3

• 6

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

• Multiply the hypotenuse by 2 ----> 2n

• Divide the hypotenuse by 2----> n/2

• Multiply the hypotenuse by √2 ----> n√2

• Divide the hypotenuse by √3 ----> n√3

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

• 3

• 7

• 14

• 24

What are a and b in this 30-60-90 triangle?

• b=3.5√3 a = 7√3

• b = 7 a = 7√2

• b = 7 a = 14

• b = 7√3 a = 14√3

Find the value of x and y.

• x = 8√3, y = 16

• x = 4, y = 8√3

• x = 16, y = 8√3

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

• 32√3

• 16√3

• 32

• 16√2