Which three lengths CANNOT be the lengths of the sides of a triangle? A. 23 m, 17 m, 14 m B. 11 m, 11 m, 12 m C. 5 m, 7 m, 8 m D. 21 m, 6 m, 10 m

Respuesta :

D. 21cm because you divide all sides by 2 then get your slope form and multiply by seven

The three lengths that cannot be the lengths of the sides of a triangle are: 21m, 6m, 10m and it can be determine by using triangle inequality theorem.

Triangle inequality theorem can be use to determine which three lengths cannot be the lengths of the sides of a triangle.

According to the triangle inequality theorem the sum of any two sides of a triangle must be greater than or equal to the third side of the triangle.

Option A - Sides of triangle are: 23m, 17m, 14m

Option A represents the sides of a triangle because the sum of any two given sides is greater than the third side.

Option B - Sides of triangle are: 11m, 11m, 12m

Option B represents the sides of a triangle because the sum of any two given sides is greater than the third side.

Option C - Sides of triangle are: 5m, 7m, 8m

Option C represents the sides of a triangle because the sum of any two given sides is greater than the third side.

Option D - Sides of triangle are: 21m, 6m, 10m

Option D does not represents the sides of a triangle because the sum of any two given sides is not greater than or equal to the third side.

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