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Note that the linear scale factor of a Rep-tile need not be a whole number. For example, when you put two congruent isosceles right

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Note that the linear scale factor of a Rep-tile need not be a whole number. For example, when you put two congruent isosceles right triangles together to get a larger right isosceles triangle (as shown below) the linear scale factor is v2. If the length of the short side of the small triangle ACE is 1 Then the length of the short side of the larger triangle AEB is 2 8 Consider the following rep-tile. The original tile is a right triangle with medium side twice as long as its short side. Copies of this tile are combined to make the similar triangle shown below: 5) What is the linear scale factor for this Rep-tile? Explain your reasoning. Hint: it is not an integer!

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