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Math Example--Area and Perimeter--Triangles: Example 39

Math Example--Area and Perimeter--Triangles: Example 39

A right triangle with sides labeled 5 and 12. The hypotenuse is calculated using the Pythagorean theorem. The perimeter is found by adding all side lengths.

Topic

Geometry

Description

This example demonstrates the process of finding the perimeter of a right triangle with sides of 5 and 12 units. Students are guided through using the Pythagorean Theorem to find the hypotenuse and then calculating the perimeter by adding all three sides.

Understanding how to apply the Pythagorean Theorem in perimeter calculations is a crucial skill in geometry. This collection of examples helps teach this topic by illustrating the step-by-step process of finding the missing side of a right triangle and then calculating its perimeter. Students learn to integrate multiple geometric concepts to solve problems efficiently.

Providing multiple worked-out examples is essential for students to fully comprehend the application of the Pythagorean Theorem in perimeter calculations. Each example reinforces the basic principles while introducing variations in given information. This approach helps students develop problem-solving strategies and recognize patterns in right triangle calculations.

Teacher Script: "Let's examine this right triangle with sides of 5 and 12 units. How can we find the length of the hypotenuse using the Pythagorean Theorem? Once we have that, how do we calculate the perimeter? Remember, perimeter is the sum of all sides. Can someone walk us through this process step by step, explaining each calculation? How does this example compare to our previous ones?"

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