Question

Two sides of a triangle are 10 mm and 7 mm. Determine the length of the third side from the choices given.(1 point)

Answer 1

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
20 mm
20 mm
2 mm
2 mm
5 mm

Answer 2

To determine the length of the third side of the triangle, we can apply the triangle inequality theorem. The theorem 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 x be the length of the third side. Using the given information, we can write the inequality:

10 + 7 > x

Combining like terms, we have:

17 > x

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

Answer 3

To determine the length of the third side of the triangle, we can again utilize the triangle inequality theorem. The theorem 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 x be the length of the third side. Using the given information, we can write the inequality:

10 + 7 > x

Simplifying, we have:

17 > x

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

From the choices given, the closest value is 20 mm. However, since 20 mm is greater than 17 mm, it does not satisfy the triangle inequality.

Therefore, there is not enough information to determine the length of the third side of the triangle from the given choices.