How do we determine the relationships of a 30 60 90 triangle

The video tutorial explains the relationship of a 30-60-90 triangle by starting with an equilateral triangle and transforming it into a right triangle. It covers the properties of equilateral triangles, the process of creating a right triangle using a perpendicular bisector, and calculating angles. The tutorial then applies the Pythagorean theorem to find the side lengths of the 30-60-90 triangle, demonstrating the relationships between the sides and angles.

What is a key characteristic of an equilateral triangle?

• It has one right angle.

• All sides and angles are equal.

• All angles are 90 degrees.

• All sides are different lengths.

How is a 30-60-90 triangle formed from an equilateral triangle?

• By drawing a perpendicular bisector.

• By extending one side.

• By bisecting one of the angles.

• By rotating the triangle.

What are the angles in a 30-60-90 triangle?

• 45, 45, and 90 degrees

• 90, 90, and 90 degrees

• 30, 60, and 90 degrees

• 60, 60, and 60 degrees

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

• C

• C√3

• 2C

• C/2

Using the Pythagorean theorem, what is the length of the long leg in a 30-60-90 triangle if the short leg is C?

• C√3

• C

• 2C

• C/2