Isosceles ΔABC is constructed so that AB = AC = 5. Use this tool to investigate the relationship between the area of the triangle and the length of its base (BC).
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Drag point C to change the base and height of isosceles ΔABC. The length of the base and the area of the triangle will be recalculated as the triangle is modified; additionally, a trace will be created by the movement of point L, which shows a graph of the area as a function of BC.
Note that the triangle disappears if points B and C overlap (that is, if BC = 0). Similarly, the triangle will disappear if BC > 10, as this is a violation of the Triangle Inequality.
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