How to use special right triangles to determine the missing values of a triangle

The video tutorial explains the properties of special right triangles, specifically the 30-60-90 triangle. It covers the relationships between the sides, where the short leg is denoted as X, the hypotenuse as 2X, and the long leg as X times the square root of 3. The tutorial demonstrates how to calculate the sides of the triangle using these relationships, emphasizing the importance of understanding these properties rather than memorizing the derivation process. The video concludes with practical examples of finding the short leg and hypotenuse from the long leg.

What is the relationship between the short leg and the hypotenuse in a 30-60-90 triangle?

• The hypotenuse is half the short leg.

• The hypotenuse is twice the short leg.

• The hypotenuse is three times the short leg.

• The hypotenuse is equal to the short leg.

If the short leg of a 30-60-90 triangle is X, what is the length of the long leg?

• X / 2

• X * sqrt 3

• X * sqrt 2

• 2X

To find the short leg from the long leg in a 30-60-90 triangle, you should:

• Multiply by sqrt 3

• Divide by 2

• Divide by sqrt 3

• Multiply by 2

If the long leg of a 30-60-90 triangle is 8 sqrt 3, what is the length of the short leg?

• 8 sqrt 3

• 4

• 8

• 16

After finding the short leg to be 8, what is the hypotenuse in a 30-60-90 triangle?

• 8 sqrt 3

• 8

• 16

• 4