Applying special right triangles 30 60 90 degree triangle

The video tutorial explains the properties and relationships of a 30-60-90 triangle. It covers how to determine whether you have the large or small leg and how to calculate the side lengths using the square root of 3. The tutorial also discusses the relationship between the short leg and the hypotenuse, emphasizing the importance of understanding these geometric relationships. The lesson concludes with final calculations and a summary of the key points.

In a 30-60-90 triangle, if the large leg is given as X * sqrt 3, how do you find the value of X?

• Add sqrt 3

• Divide by sqrt 3

• Multiply by sqrt 3

• Subtract sqrt 3

When given the larger leg of a 30-60-90 triangle, what operation is necessary to find the shorter leg?

• Divide by sqrt 3

• Multiply by sqrt 3

• Divide by 2

• Multiply by 2

What should you consider when deciding whether to leave your answer in radical form or convert it to a decimal?

• The length of the hypotenuse

• The instructions given

• The size of the triangle

• The value of sqrt 3

How is the hypotenuse related to the short leg in a 30-60-90 triangle?

• It is three times the length

• It is twice the length

• It is half the length

• It is the same length

If the short leg of a 30-60-90 triangle is approximately 7.5, what is the approximate length of the hypotenuse?

• 22.5

• 15

• 30

• 7.5