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 the significance of the equilateral triangle in understanding the 30-60-90 triangle?

Explain how the angles of an equilateral triangle relate to the angles in a 30-60-90 triangle.

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

Describe the process of deriving the lengths of the sides in a 30-60-90 triangle using the Pythagorean theorem.

How do you calculate the length of the long leg in a 30-60-90 triangle if you know the length of the short leg?