Special Proportional Theorems Triangles

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

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Find the missing side lengths. Leave your answer 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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• 
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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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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 is the value of x?

• 2

• 18

• 2√9

• 9√2