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10 July, 15:20

If the length of two sides of a triangle are 5 & 11, what is the range of possible lengths for the third side?

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  1. 10 July, 19:18
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    The minimum side length is where the triangle contracts to a line. This will be when 5 and the third side add up to 11, ie., the side is 6.

    The maximum side length also flattens the triangle to a line, but now the 5 and 11 sides are aligned, and the third side overlays it, its length is 5+11=16.

    So the range is [6,16]
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