Triangles Unit Test

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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)
Responses

5 mm
5 mm

20 mm
20 mm

2 mm
2 mm

1 mm
1 mm

you got this!

1 answer

To determine the length of the third side of a triangle, we can use the triangle inequality theorem. According to this theorem, 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 given sides are 10 mm and 7 mm. Therefore, the length of the third side must be greater than 10 mm - 7 mm = 3 mm.

From the given choices, the only length that is greater than 3 mm is 5 mm. Therefore, the correct answer is 5 mm.