Using special right triangles to determine the missing values of a triangle

The video tutorial explains the properties of a 30-60-90 triangle, focusing on the relationships between its sides. The teacher reviews the Pythagorean theorem and demonstrates how to calculate the hypotenuse and long leg when the short leg is known. An example is provided using a short leg of 11, showing how to find the hypotenuse and long leg using multiplication.

What is the unique property of a 30-60-90 triangle?

• All sides are equal.

• The angles are all 60 degrees.

• The sides have a specific ratio.

• It is a right triangle with equal legs.

In a 30-60-90 triangle, if the short leg is 'x', what is the length of the hypotenuse?

• x

• 2x

• x/2

• x * sqrt(3)

How do you calculate the long leg of a 30-60-90 triangle if the short leg is known?

• Multiply the short leg by 2

• Multiply the short leg by sqrt(3)

• Divide the short leg by 2

• Add the short leg to the hypotenuse

If the short leg of a 30-60-90 triangle is 11, what is the length of the hypotenuse?

• 11

• 22

• 11 * sqrt(3)

• 33

For a 30-60-90 triangle with a short leg of 11, what is the length of the long leg?

• 11 * sqrt(3)

• 22

• 11

• 33