To determine the length of the third side of the triangle, we can use the triangle inequality theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides are 10 mm and 7 mm, the third side must be less than the sum of these two sides and greater than their difference.
10 + 7 > x
17 > x
10 - 7 < x
3 < x
Therefore, the length of the third side must be greater than 3 mm and less than 17 mm.
From the choices given, the only length that falls within this range is 5 mm. Therefore, the length of the third side is 5 mm.
two sides of a triangle are 10 mm and 7 mm. determine the length of the third side from the choices given.
20 mm
1 mm
2 mm
5 mm
1 answer