Math Example--Area and Perimeter--Triangles: Example 9

Topic

Geometry

Description

This example focuses on calculating the area of an equilateral triangle. The triangle has all angles equal to 60°, a base of 12 units, and a height of 6√3 units. Students are guided through applying the area formula using these specific dimensions, which involve a square root.

Equilateral triangles are a special case in geometry, with all sides and angles equal. This collection of examples helps teach this topic by highlighting the relationship between an equilateral triangle's side length and its height. Students learn to apply the area formula while working with irrational numbers, deepening their understanding of triangle properties and mathematical operations.

Providing multiple worked-out examples is crucial for students to fully comprehend the concept of equilateral triangle area. Each example reinforces the unique characteristics of these triangles while demonstrating how to adapt the general area formula. This approach helps students develop problem-solving skills and recognize patterns in geometric calculations.

Teacher Script: "Let's examine this equilateral triangle. Notice how all angles are 60°. We're given the base length and the height involves a square root. How does this impact our area calculation? Remember, we still use the same area formula, but we need to be careful when working with square roots. Can someone walk us through how to set up and solve this problem?"

For a complete collection of math examples related to Area and Perimeter click on this link: Math Examples: Triangular Area and Perimeter Collection.