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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Question Video: Finding the Length of a Side in an Isosceles Triangle given the Lengths of Its Legs and the Size of the Base Angles