Two sides of a triangle are 10 mm and 7 mm using the triangle inequality theorem see picture above determine the length of the third side from the choices getting on the triangle we had a B and C word the answer be 3 mm 5 mm 1 mm or 2 mm
Based on the triangle inequality theorem, the third side of the triangle must be greater than the absolute value of the difference of the other two sides, but less than the sum of the other two sides.
In this case, the difference between the two sides is 10 mm - 7 mm = 3 mm.
Since the third side must be greater than 3 mm but less than 10 mm + 7 mm = 17 mm, the only option that fits within this range is 5 mm.
Therefore, the length of the third side of the triangle is 5 mm.