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How to construct an isosceles triangle given base and one side - Math Open Reference

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How to construct (draw) an isosceles triangle with compass and straightedge or ruler, given the length of the base and one side. First we copy the base segment. Then we use the fact that both sides of an isosceles triangle have the same length to mark the topmost point of the triangle that same distance from each end of the base. A Euclidean construction.

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Hello ! I have a question: if the triangle here is an isosceles, isn't the height therefore equal to 4? (given that the length of two sides of the isosceles should be

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