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

20 mm
20 mm

1 mm
1 mm

5 mm
5 mm

2 mm

1 answer

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 remaining side.

Let's denote the length of the third side as x mm.

Based on the given information, we have:
10 mm + 7 mm > x mm

Simplifying the expression:
17 mm > x mm

Therefore, we can conclude that the length of the third side is less than 17 mm.

Among the given choices, only "5 mm" satisfies this condition. Therefore, the length of the third side is 5 mm.