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Math Example--Area and Perimeter--Triangles: Example 23

Math Example--Area and Perimeter--Triangles: Example 23

The image shows a triangle with sides labeled 10, 11, and 12. It includes angles of 50 and 60 degrees, with a height of 8. The triangle is labeled as acute.

Topic

Geometry

Description

This example focuses on calculating the perimeter of an acute triangle with specific side lengths. The triangle has sides measuring 10, 11, and 12 units, with angles of 50 and 60 degrees. Students are guided through the process of adding these side lengths to find the perimeter.

Understanding perimeter calculations for various triangle types is a fundamental concept in geometry. This collection of examples helps teach this topic by illustrating how to calculate perimeter for acute triangles with given dimensions. Students learn to apply the perimeter formula consistently, regardless of the triangle's specific angles or height.

Providing multiple worked-out examples is crucial for students to fully comprehend the concept of triangle perimeter. Each example reinforces the basic principle while introducing slight variations in triangle types and dimensions. This approach helps students recognize that perimeter calculation remains consistent regardless of the triangle's shape or internal angles.

Teacher Script: "Let's examine this acute triangle. We're given the lengths of all three sides, as well as some angle measurements. For perimeter, which of these pieces of information do we need? That's right, just the side lengths. Can someone walk us through the calculation of the perimeter? How does this compare to our previous examples?"

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

Common Core Standards CCSS.MATH.CONTENT.6.G.A.1, CCSS.MATH.CONTENT.7.G.B.6, CCSS.MATH.CONTENT.3.MD.D.8, CCSS.MATH.CONTENT.4.MD.A.3, CCSS.MATH.CONTENT.3.MD.C.7, CCSS.MATH.CONTENT.3.MD.C.7.A, CCSS.MATH.CONTENT.3.MD.C.7.B, CCSS.MATH.CONTENT.3.MD.C.7.C, CCSS.MATH.CONTENT.3.MD.C.7.D, CCSS.MATH.CONTENT.3.MD.C.5
Grade Range 6 - 12
Curriculum Nodes Geometry
    • Triangles
        • Area and Perimeter of Triangles
Copyright Year 2013
Keywords area, perimeter, triangle