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

1 answer

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.