Education Technology

Special Right Triangles

Updated on 10/06/2014

Activity Overview

Examine two types of special right triangles and determine the predictable relationships between the lengths of their legs and hypotenuse.

Objectives

  • Students will identify the relationship between the lengths of the shorter and longer legs in a 30°-60°-90° right triangle.
  • Students will determine the relationship between the shorter leg and the hypotenuse in a 30°-60°-90° right triangle.
  • Students will identify the relationship between the lengths of the legs in a 45°-45°-90° right triangle.
  • Students will determine the relationship between the legs and the hypotenuse in a 45°-45°-90° right triangle.

Vocabulary

  • hypotenuse
  • altitude
  • right triangle

About the Lesson

This lesson involves manipulating a special right triangle that is half of an equilateral triangle (the 30°-60°-90° triangle) and a special right triangle that is half of a square (the 45°-45°-90° triangle). As a result, students will: Determine the relationships among the lengths of the sides of a 30°-60°-90° triangle and a 45°-45°-90° triangle.