Ray theorem and similarity - calculating lake length and river width

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Michael Eicker

Published on Nov 23, 2020
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These two practical problems on the topic of similarity require a little more attention when creating the ratio equations. In the first problem, the length of a lake is to be calculated without crossing the lake. The sketch shows that the length x is only part of the long side of the large triangle. This makes the work a little more difficult at first glance. The second practical problem is a little more difficult because the smaller of the two similar triangles appears to be rotated by 180 degrees. It is important that, as always, you make sure to write the term with the x on top of the fraction bar. Otherwise, you will have a lot of extra work to do when rearranging the equation.

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