Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 11

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar right triangles. Two right triangles are shown, one with legs of 7 and 9, and the other with legs of 14 and x. The problem requires finding the length of side x by setting up a proportion based on the similar triangles: 7 / 9 = 14 / x. Solving this equation leads to x = 18.

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 and engineering.

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 legs 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 and physics."

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