Math Example--Right Triangles-- Example 14

Topic

Right Triangles

Description

This example presents a right triangle with one leg measuring 15 units, an unknown leg b, and a hypotenuse of 20 units. The task is to find the value of b using the Pythagorean Theorem. By applying the formula a² + b² = c² and solving for b, we calculate that b = √(c² - a²) = √(20² - 15²) = √(175) = 5 * √(7).

This example demonstrates how to use the Pythagorean Theorem to find an unknown leg of a right triangle when given the hypotenuse and the other leg. It reinforces the concept that the Pythagorean Theorem can be rearranged to solve for any side of a right triangle, not just the hypotenuse.

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 practice different problem-solving strategies, helping students build confidence in their ability to apply the Pythagorean Theorem to various scenarios.

Teacher's Script: Let's examine our fourteenth example. We have a right triangle where we know one leg and the hypotenuse, but we need to find the other leg. How is this different from our previous examples? That's right, we're solving for a leg instead of the hypotenuse. Let's work through this together and see how we can rearrange the Pythagorean Theorem to solve for b. Think about how this method might be useful in real-world applications.

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