Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 17

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar right triangles. Two right triangles are shown, with the left one having sides of 12 and 5, and the right one having sides of x and 15. The problem requires finding the length of side x by setting up a proportion: 12 / 5 = x / 15. Solving this equation leads to x = 36.

Understanding proportions in geometric contexts, particularly with right triangles, is a fundamental skill in mathematics. This collection of examples helps teach the topic by presenting various scenarios where proportions are applied to solve real-world problems, allowing students to see the practical applications of these mathematical concepts in areas such as architecture, engineering, and design.

Exposure to multiple worked-out examples is crucial for students to fully grasp proportions and their applications. Each example reinforces the core concept while introducing different geometric scenarios, helping students develop problem-solving skills and recognize patterns across various types of proportion problems involving right triangles and other geometric figures.

Teacher's Script: "In this example, we're using similar right triangles to set up a proportion. Notice how the corresponding sides of the triangles form our ratio. Let's solve this step-by-step, showing you how to apply proportion concepts to geometric problems. This skill will be valuable in many areas of mathematics, including trigonometry, physics, and even in practical applications like determining distances or heights indirectly."

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