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Assuming you mean by combining 3 of the 4 given lengths.

To make a triangle the sum of the two shorter sides must be greater than the third side; thus there are:

Without repeats of length: 4 possible triangles.

With repeats of length:

The smallest length is 4cm with two of this length, the sum is 8cm which is greater than the longest length given (7cm), thus there are no impossible triangles with the given lengths.

So there are 20 possible triangles.

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Q: How many triangles can you make with 4 cm 5 cm 6 cm and 7 cm without taking any of them apart?
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