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Sandra likes to build hexagons using plastic triangles of size 1 cm. For example, she can build the smaller hexagon with 6 triangles as shown

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Sandra likes to build hexagons using plastic triangles of size 1 cm. For example, she can build the smaller hexagon with 6 triangles as shown in the diagram below. She can bring an hexagon with size 2 cm by using 24 plates triangles. L=2cm L=1cm . Assume you have an innite supply of plastic triangles. No other assumptions are needed so in this question you need to focus on the model and the solution. How many triangles are needed to build a larger Hexagon with side 6 cm? Hint: do not brute force but nd a pattern for the formulas by looking at hexagon with side 2 cm and 3 cm

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