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Math Example--Area and Perimeter--Triangles: Example 13

Math Example--Area and Perimeter--Triangles: Example 13

An isosceles right triangle with both legs measuring 13 units and angles of 45 degrees. The area calculation is shown using these dimensions.

Topic

Geometry

Description

This example focuses on calculating the area of an isosceles right triangle. The triangle has two equal legs measuring 13 units each, with angles of 45 degrees. Students are guided through applying the area formula to this specific case, which combines properties of both isosceles and right triangles.

Isosceles right triangles are a special case in geometry, bridging the concepts of isosceles and right triangles. This collection of examples helps teach this topic by illustrating how to apply the area formula to triangles with these unique properties. Students learn to recognize the symmetry in isosceles right triangles and use it to simplify calculations.

Providing multiple worked-out examples is crucial for students to fully comprehend the concept of isosceles right triangle area. Each example reinforces the unique characteristics of these triangles while demonstrating how to adapt the general area formula. This approach helps students develop problem-solving skills and recognize patterns in geometric calculations.

Teacher Script: "Now we're looking at an isosceles right triangle. Notice how both legs are equal and we have a right angle. How does this impact our area calculation? Remember, we can use either leg as both the base and the height in this case. Can someone walk us through how to set up and solve 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.

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