Math Example--Area and Perimeter--Triangles: Example 31

Topic

Geometry

Description

This example demonstrates the process of finding the perimeter of a right triangle when only two sides are given. The triangle has sides measuring 7 and 12 units. Students are guided through using the Pythagorean Theorem to find the length of the hypotenuse before calculating the perimeter.

Understanding how to apply the Pythagorean Theorem in perimeter calculations is a crucial skill in geometry. This collection of examples helps teach this topic by illustrating the step-by-step process of finding the missing side of a right triangle and then calculating its perimeter. Students learn to integrate multiple geometric concepts to solve more complex problems.

Providing multiple worked-out examples is essential for students to fully comprehend the application of the Pythagorean Theorem in perimeter calculations. Each example reinforces the basic principles while introducing variations in given information. This approach helps students develop problem-solving strategies and recognize the interconnectedness of geometric concepts.

Teacher Script: "Let's examine this right triangle. We're given two sides, but to find the perimeter, we need all three. How can we find the missing side? That's right, we'll use the Pythagorean Theorem. Can someone walk us through the process of finding the hypotenuse and then calculating the perimeter? Remember to keep your intermediate steps in simplified radical form if necessary."

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