Math Example--Area and Perimeter--Triangles: Example 6

Topic

Geometry

Description

This example combines the concepts of obtuse triangles and algebraic expressions. The triangle has a base of x + 1 and a height of x - 1, with a 120-degree angle. Students are challenged to express the area formula using these algebraic terms.

Integrating algebra into geometric problems is a key skill in advanced mathematics. This collection of examples helps teach this topic by demonstrating how algebraic expressions can represent triangle dimensions. Students learn to manipulate these expressions within the area formula, deepening their understanding of both algebra and geometry.

Exposure to multiple worked-out examples is vital for students to fully grasp the interplay between algebraic expressions and geometric concepts. Each example builds on previous knowledge, gradually increasing in complexity. This approach helps students develop problem-solving skills and recognize patterns in mathematical relationships.

Teacher Script: "In this example, we're dealing with an obtuse triangle, but now our base and height are expressed algebraically. How does this change our approach to finding the area? Let's work through this step-by-step. Remember, we're still using our basic area formula, but we need to be careful with our algebraic manipulation. Can someone suggest how we might start 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.