Math Example--Right Triangles-- Example 5

Topic

Right Triangles

Description

This example presents a right triangle with sides measuring 5 and 12 units, and an unknown hypotenuse c. The task is to find the value of c using the Pythagorean Theorem. Applying the formula a² + b² = c², we calculate that c = √(5² + 12²) = √(169) = 13. This triangle is noted as a 5-12-13 Pythagorean triple.

This example introduces the concept of Pythagorean triples, which are sets of three positive integers that satisfy the Pythagorean Theorem. Understanding these special cases can help students recognize patterns and develop a deeper appreciation for the properties of right triangles.

Providing multiple worked examples is crucial for students to fully grasp the concept of right triangles and their various applications. Each new example offers an opportunity to reinforce previously learned concepts while introducing new ideas, helping students build a comprehensive understanding of right triangle geometry.

Teacher's Script: Let's look at our fifth example. We have a right triangle with sides 5 and 12. What's our goal here? That's right, we need to find the length of the hypotenuse, c. Let's apply the Pythagorean Theorem together. Once we've solved it, I want you to notice something special about the numbers in this triangle. Can anyone guess what might be unique about a 5-12-13 triangle?

For a complete collection of math examples related to Right Triangles click on this link: Math Examples: Right Triangles Collection.