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Math Example--Area and Perimeter--Triangles: Example 17

Math Example--Area and Perimeter--Triangles: Example 17

A right triangle with sides labeled as 3, 4, and 5. The solution shows a simple area calculation using these values.

Topic

Geometry

Description

This example focuses on calculating the area of a 3-4-5 right triangle. This triangle is a special case of right triangles with integer side lengths. Students are guided through applying the area formula to this specific case, which is straightforward due to its simple dimensions.

The 3-4-5 right triangle is a fundamental concept in geometry, often used as an introductory example for right triangle properties. This collection of examples helps teach this topic by illustrating how to apply the area formula to this well-known triangle. Students learn to recognize this special triangle and use its properties to simplify calculations.

Providing multiple worked-out examples is crucial for students to fully comprehend the concept of triangle area, starting with simple cases like this. Each example builds on previous knowledge, gradually increasing in complexity. This approach helps students develop problem-solving skills and recognize patterns in geometric calculations.

Teacher Script: "Let's look at this special right triangle. You might recognize it as the famous 3-4-5 triangle. How can we use these side lengths to find the area? Remember, in a right triangle, we can use the two shorter sides as our base and height. Can someone walk us through the calculation step by step?"

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