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GeoGebraGeoGebra Classroom

Build a triangle I

Given: three line segments (purple, blue, green) whose lengths are fixed and known. Is it {always, sometimes, never} possible to build a triangle such that two of the line segments form the sides and the third line segment is a median to one of those sides? You can use the draggable, stretchable white segment to explore the question. What questions could / would you put to your student based on this applet?
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