Discovering Slope Using Similar Right Triangles

In the following 3 – 4 – 5 right triangle, the height is 3 units. In a similar triangle on the right, the height is 1.5; the scale factor, or constant of proportionality, from left to right is ½. What is the area of each triangle? What is the ratio of the area of the smaller triangle on the right to the area of the triangle … ................
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