Math Example--Area and Perimeter--Triangles: Example 33

Topic

Geometry

Description

This example focuses on calculating the perimeter of an isosceles right triangle. The triangle has two equal sides of length 12 units and angles of 45 degrees. Students are guided through the process of using the Pythagorean Theorem to find the hypotenuse and then calculating the perimeter.

Understanding the properties of isosceles right triangles and applying the Pythagorean Theorem are important skills in geometry. This collection of examples helps teach this topic by illustrating how to calculate the hypotenuse and perimeter of a special right triangle. Students learn to recognize the unique properties of 45-45-90 triangles and use them to simplify calculations.

Providing multiple worked-out examples is crucial for students to fully comprehend the concept of perimeter in special right triangles. Each example reinforces the basic principles while introducing variations in given information. This approach helps students develop problem-solving strategies and recognize patterns in geometric calculations involving square roots.

Teacher Script: "Let's examine this isosceles right triangle. We know both legs are 12 units long. How can we use this information to find the hypotenuse? Remember, this is a special 45-45-90 triangle. Once we have the hypotenuse, how do we calculate the perimeter? Can someone walk us through this process, explaining each step?"

For a complete collection of math examples related to Area and Perimeter click on this link: Math Examples: Triangular Area and Perimeter Collection.