Two sides of a triangle are 10m m and 7mm determine the length of the third side from the choices given
5mm
20mm
2mm
1mm
The third side of a triangle must be shorter than the sum of the lengths of the other two sides and longer than the difference between the lengths of the other two sides.
In this case, the sum of the lengths of the other two sides is 10mm + 7mm = 17mm.
The difference between the lengths of the other two sides is 10mm - 7mm = 3mm.
Therefore, the length of the third side must be greater than 3mm and smaller than 17mm.
From the given choices, the only length that falls within this range is 5mm.
So, the length of the third side is 5mm.