#### 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.