Math Example--Area and Perimeter--Triangles: Example 8

Topic

Geometry

Description

This example combines isosceles triangles with algebraic expressions. The triangle has two equal angles of 65° and a base angle of 50°. The base is expressed as x - 3, and the height as x + 3. Students are challenged to formulate the area 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 in isosceles triangles. 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: "Now we're looking at an isosceles triangle with algebraic expressions for its base and height. 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.