two sides of a triangle are 10mm and 7mm. Determine the length of the third side from the choices given. (1 point)
A. 2mm
B. 20mm
C. 5mm
D.1mm
To determine the length of the third side, 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.
Let's denote the length of the third side as x.
Using the given information, we have:
10mm + 7mm > x
17mm > x
Therefore, the length of the third side must be less than 17mm.
From the options given, the only length that is less than 17mm is 5mm.
Therefore, the answer is C. 5mm.