Apply the Triangle Inequality Theorem and determine which option could be the third side of a triangle if the first two sides measure 10mm and 7mm.(1 point)

Question

5 mm

2 mm

1 mm

20 mm

Answer 1

To apply the Triangle Inequality Theorem, the third side of the triangle must be greater than the absolute value of the difference between the two given sides and less than the sum of the two given sides.

Using the given sides:
10 - 7 = 3 mm
10 + 7 = 17 mm

Therefore, the third side must be greater than 3 mm and less than 17 mm.

Among the options given, the only option that satisfies this condition is:

5 mm

Thus, the third side of the triangle could be 5 mm.