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Biggie Size It!

If you double the lengths of each of the sides of a triangle, what happens to the perimeter and the area? Explain why.

How would the results change if you triple the lengths of each of the sides? What if you make the sides ten times their original size? Explain your reasoning.

 Extensions

If you double the area of a triangle, explain what happens to the side lengths and perimeter.

By how many times would you need to increase the area in order for the new side length and new perimeter to be 5 times the original measures?

 Related External Resources

Heron's Area of a Triangle
This site will take you through some historical explorations, some interactive activities, and some intriguing connections in mathematics.

Geoboards in the Classroom
This unit deals with the side lengths and area of two-dimensional geometric figures using the geoboard as a pedagogical device.

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