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Math Example--Area and Perimeter--Triangles: Example 3

Math Example--Area and Perimeter--Triangles: Example 3

Acute triangle with angles labeled 50° and 60°, base of 12 units, height of 8 units

Topic

Geometry

Description

This example demonstrates how to calculate the area of an acute triangle. The triangle has angles labeled as 50° and 60°, with a base measuring 12 units and a height of 8 units. To find the area, we use the formula A = 1/2 * b * h. In this case, A = 1/2 * 12 * 8 = 48 square units.

Understanding the area of triangles is a fundamental concept in geometry that applies to various real-world situations. This collection of examples helps students visualize different types of triangles and compute their areas accurately using given dimensions.

Exposure to multiple worked-out examples is crucial for students to fully grasp these concepts as each example reinforces fundamental principles while introducing new approaches for calculating areas based on different types of triangles.

Teacher Script: "Let's examine this acute triangle with angles labeled as such because they are less than right angles (90°). We have a base length (12) & corresponding perpendicular height (8). Using our formula A=½bh gives us an answer—48 sq.units! Can you think about where else you might see or use acute-angled triangles?"

For a complete collection of math examples related to Area & Perimeter click here:Math Examples: Triangular Area & 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