Math Example--Area and Perimeter--Triangles: Example 5

Topic

Geometry

Description

This example demonstrates the calculation of area for an obtuse triangle. The triangle has a base of 15 units, a height of 8 units, and includes a 120-degree angle. Students are guided through the process of applying the area formula for this specific case.

Obtuse triangles are an important concept in geometry, expanding students' understanding beyond right and acute triangles. This collection of examples helps teach this topic by showcasing how the area formula applies universally, regardless of the triangle's angle types. Students learn to identify the base and height in different orientations, reinforcing their understanding of triangle properties.

Providing multiple worked-out examples is crucial for students to fully grasp the nuances of triangle area calculations across various types. Each example offers an opportunity to practice applying the formula while recognizing that the basic principle remains consistent. This repetition builds confidence and prepares students for more complex geometric problems involving different triangle types.

Teacher Script: "Let's examine an obtuse triangle. Notice how one of the angles is greater than 90 degrees. Despite this difference, we still use the same area formula. Can anyone tell me what the base and height are in this example? How will we proceed to calculate the area? Remember, the shape of the triangle doesn't change our fundamental approach."

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