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Unfortunately it does not have equal length in fact 2 of its sides are the same but the others are not.

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Wrong!

The key requirement of a trapezium is that it has exactly one pair of parallel sides. It can have 0, 1, 2 or 3 sides of equal length.

Also, there is nothing fortunate or unfortunate about having sides of equal length.

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Q: Does a trapezium have equal length?
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