Special Right Triangles

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

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

• 4√2
• 4
• 8
• 4√3

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

• 8√2
• 4√2
• 4
• 8

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

What is the length of u and v in this 30-60-90 triangle?

• u = 8 v = 4√3
• u = 4√2 v = 8
• u = 16 v = 8
• u = 4√3 v = 8

What are x and y in this 30-60-90 triangle?

• x = 6 y = 3√3

• x = (3√3)/2 y =3/2

• x = 3√3 y = 6

• x = √3 y = 2√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

A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.

• 134.4
• 67.2
• 95√2
• (95√2)/2

Find the value of y.

• 8
• 4
• 2√3
• 8√3