Respuesta :

Option A is correct. The segments AC, BC, and BA forms the Triangle.

Given, AC = 4; BC = 3; BA = 6

The condition if the given segments form a triangle is to use Triangle Inequality Theorem.

Triangle Inequality Theorem states that the sum of the length of two sides of a triangle is always greater than the third side.

Taking AC + BC > BA

            4 + 3 > 6

             7> 6 which is true.

Now taking BC + BA > AC

                    3 + 6 > 4

                     9 > 4, is also true.

Now,  BA + AC > BC

            6 + 4 > 3

              10 > 3 is true.

Therefore, option A is correct. The segments AC, BC, and BA forms the triangle.

To learn more about, triangle inequality theorem,visit: Option A is correct. The segments AC, BC, and BA forms the Triangle.

Given, AC = 4; BC = 3; BA = 6

The condition if the given segments form a triangle is to use Triangle Inequality Theorem.

Triangle Inequality Theorem states that the sum of the length of two sides of a triangle is always greater than the third side.

Taking AC + BC > BA

            4 + 3 > 6

             7> 6 which is true.

Now taking BC + BA > AC

                    3 + 6 > 4

                     9 > 4, is also true.

Now,  BA + AC > BC

            6 + 4 > 3

              10 > 3 is true.

Therefore, option A is correct. The segments AC, BC, and BA forms the triangle.

To learn more about the triangle theorem, visit: https://brainly.com/question/60049

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