Math Example--Right Triangles-- Example 3

Topic

Right Triangles

Description

This example presents a right triangle with sides measuring 6 and 8 units, and an unknown hypotenuse labeled c. The task is to calculate the length of c using the Pythagorean Theorem. Applying the formula a² + b² = c², we find that c = √(6² + 8²) = √(100) = 10.

This example further reinforces the concept of right triangles and the application of the Pythagorean Theorem. It demonstrates how the theorem can be used with various side lengths, helping students recognize patterns and develop problem-solving skills in the context of right triangles.

Providing multiple worked examples is crucial for students to fully grasp the concept of right triangles and the Pythagorean Theorem. Each new example offers an opportunity to practice the problem-solving process, reinforcing the method and helping students build confidence in their ability to apply the theorem to different scenarios.

Teacher's Script: Now, let's look at our third example. We have a right triangle with sides 6 and 8. What do you think we need to find? That's right, we need to calculate the length of the hypotenuse, c. Can someone remind us which theorem we use for this? Excellent! Let's apply the Pythagorean Theorem together and see if we can determine the value of c.

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