Special Right Triangles

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

• 8√2

• 4√2

• 4

• 8

Solve for a and b in the special right triangle.

• a = 5, b = 5

• a = 10, b = 10√2

• a = 10√2, b = 10√2

• a = 5√2, b = 5√2

What is the value of x?

• 12√2

• 2√12

• 24

• 2

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Equiangular

• Equilateral

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

• 4

• u

• v

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

• 6

• m

• n

Find a.

• 12

• 24

• 16

Find y.

• 6

• 24

Find the missing side lengths. Leave your answers as radicals in simplest form.

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5