Constructing the square root of a number
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In this exercise you are given a line segment \(BC\) with \(|BC|=1\) and another line segment \(AB\). Your task is to construct a line segment of length exactly equal to \(\sqrt{|AB|}\). In the same way as some of the earlier exercises, you can use the length tool to check your answer.
Hint. You may find it useful to use similar triangles.
Remark. Note that we need a reference length equal to one in order to define multiplication (and hence the square root of a number). We also saw this last week in the Euclidean Multiplication exercise.
