Special Right Triangle

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

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

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

• 4√2

• 4

• 8

• 4√3

Find x - the length of the hypotenuse of the triangle.

• 5

• 5√2

• 10

• 5√3

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

• 6

• m

• n

Which side is the long leg in this 30-60-90 triangle?

• 4

• u

• v

What are u and v in this 30-60-90 triangle?

• v = 2√3 u = 6

• v = 4 u = 4√3

• v = 4 u = 4√2

• v = 4√3 u = 8√3

Find y?

• 9√3

• 9√2

• 18√3

• 9

Find x. 

• 6√3

• 8√3

• 24

• 12√3

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Equiangular

• Equilateral