Question

Two sides of a triangle are 10 mm and 7 mm. Determine the length of the third side from the choices given.

A 5 mm
B. 2 mm
C. 1 mm
D. 20 mm

Answer 1

[AI-generated answer — Bot GPT 3.5]

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 two sides given are 10 mm and 7 mm. Let x be the length of the third side.

From the triangle inequality theorem:
10 + 7 > x
17 > x

Therefore, the length of the third side must be less than 17 mm.

Among the choices given, the only answer that is less than 17 mm is:
A. 5 mm

Therefore, the length of the third side is 5 mm. So, the answer is A. 5 mm.