Understanding Right Angle Triangles

This tutorial introduces trigonometry, focusing on right angle triangles. It explains the special names given to the sides of these triangles: hypotenuse, opposite, and adjacent. The tutorial also covers how to label these sides using the Greek letter Theta, which represents an angle. Through examples, it demonstrates how the opposite and adjacent sides can change depending on the angle in question. The tutorial concludes with a preview of the next lesson on trigonometric identities.

What is the main focus of this tutorial series?

• Geometry in right angle triangles

• Calculus in right angle triangles

• Trigonometry in right angle triangles

• Algebra in right angle triangles

What does trigonometry study?

• The relationship between angles and sides in circles

• The relationship between angles and sides in triangles

• The relationship between angles and sides in polygons

• The relationship between angles and sides in squares

What is the longest side of a right angle triangle called?

• Adjacent

• Base

• Opposite

• Hypotenuse

What is the Greek letter commonly used to represent an angle?

• Alpha

• Gamma

• Beta

• Theta

Which side is always opposite the right angle in a right angle triangle?

• Opposite

• Base

• Adjacent

• Hypotenuse

The opposite side is always relative to which part of the triangle?

• The right angle

• A specific angle

• The base

• The hypotenuse

What is the adjacent side next to in a right angle triangle?

• The hypotenuse and the opposite side

• The right angle and the active angle

• The base and the hypotenuse

• The opposite side and the base

When labeling a triangle, which side is identified first?

• Opposite

• Adjacent

• Base

• Hypotenuse

What happens to the opposite and adjacent sides when the active angle changes?

• They change relative to the new angle

• They both become the hypotenuse

• They switch places

• They remain the same

In the final example, which side is labeled last?

• Base

• Hypotenuse

• Adjacent

• Opposite