In an arbitrary triangle, the lengths of two sides are known: 3 and 4 dm. For the third side, it is known

In an arbitrary triangle, the lengths of two sides are known: 3 and 4 dm. For the third side, it is known that its length is equal to a number divisible by four. Find the length of the third side.

Multiples of 4: 4,8,16, ..

In a triangle, the length of either side must be less than the sum of the lengths of the other two sides. Those. we have to find a side whose length is less than 3 + 4.

If the third side is 4, then 4 <3 + 4. So the third side can be 4 in length.

If the third side is 8, then 8> 3 + 4. So the third side cannot have a length equal to 8.

Answer. 4.