Triangles: Properties and Formulas

The video tutorial covers solving a 30-60-90 triangle problem by finding missing sides using the hypotenuse. It then explains how to calculate the area of an equilateral triangle by determining the base and height. The tutorial concludes with additional practice problems and a summary of the concepts covered.

What is the formula for the hypotenuse in a 30-60-90 triangle?

• 2x

• x√3

• x

• x/2

If the hypotenuse of a 30-60-90 triangle is 22, what is the length of the short leg?

• 15

• 11

• 22

• 5

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

• The long leg is twice the short leg

• The long leg is the short leg times √3

• The long leg is half the short leg

• The long leg is the short leg plus 5

What is the formula for the area of a triangle?

• base times height

• one-half base times height

• base plus height

• base minus height

In an equilateral triangle, what is the measure of each angle?

• 45 degrees

• 30 degrees

• 60 degrees

• 90 degrees

How does drawing an altitude in an equilateral triangle affect the angles?

• It does not affect the angles

• It triples the angles

• It halves one of the angles

• It doubles the angles

What is the length of the short leg if the side of an equilateral triangle is 10?

• 20

• 15

• 5

• 10

What is the length of the long leg in a 30-60-90 triangle if the short leg is 5?

• 10

• 15

• 5

• 5√3

What is the area of an equilateral triangle with a side length of 10?

• 50

• 50√3

• 25

• 25√3

What is the purpose of redrawing the triangle in the video?

• To change the triangle's size

• To help visualize the problem

• To make it more colorful

• To add more angles