Two sides of a triangle are 10 mm and 7 mm. Determine the length of the third side from the choices given.(1 point) Responses 1 mm 1 mm 2 mm 2 mm 5 mm 5 mm 20 mm
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.
In this case, the lengths of the two given sides are 10 mm and 7 mm. The length of the third side must be greater than the difference between these two sides, but less than the sum of these two sides.
So, the length of the third side must be greater than 10 mm - 7 mm = 3 mm, and less than 10 mm + 7 mm = 17 mm.
From the choices given, the only length that satisfies this condition is 5 mm.