2 sides of a triangle are 10mm and 7mm. Determine the length of the third side from the choices given
The choices are
2mm
5mm
20mm
1mm
Based on the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, the length of the third side must be greater than 10mm - 7mm = 3mm and less than 10mm + 7mm = 17mm.
From the given choices, the only length that falls within this range is 5mm. Therefore, the length of the third side is 5mm.