The construction of a triangle is not possible if the sum of the lengths of any two sides is less than or equal to the length of the third side. This is known as the triangle inequality theorem.

Here are the steps to check if a triangle can be formed:

1. Take the lengths of the three sides. Let's call them a, b, and c.

2. Add the lengths of any two sides. For example, a + b.

3. If the sum of a + b is less than or equal to c, then a triangle cannot be formed.

4. Repeat the process for the other two combinations (b + c and a + c).

5. If for any combination the sum of the lengths of two sides is less than or equal to the length of the third side, then a triangle cannot be formed.

This is because, in a triangle, any side should be shorter than the sum of the other two sides. If it's equal or longer, the two shorter sides would be unable to meet to form a triangle.

Question

The construction of a triangle is not possible if the sum of the lengths of any two sides is less than or equal to the length of the third side. This is known as the triangle inequality theorem.

Here are the steps to check if a triangle can be formed:

1. Take the lengths of the three sides. Let's call them a, b, and c.

2. Add the lengths of any two sides. For example, a + b.

3. If the sum of a + b is less than or equal to c, then a triangle cannot be formed.

4. Repeat the process for the other two combinations (b + c and a + c).

5. If for any combination the sum of the lengths of two sides is less than or equal to the length of the third side, then a triangle cannot be formed.

This is because, in a triangle, any side should be shorter than the sum of the other two sides. If it's equal or longer, the two shorter sides would be unable to meet to form a triangle.

Knowee AI · Accepted Answer

The construction of a triangle is not possible if the sum of the lengths of any two sides is less than or equal to the length of the third side. This is known as the triangle inequality theorem.

Here are the steps to check if a triangle can be formed:

1. Take the lengths of the three sides. Let's call them a, b, and c.

2. Add the lengths of any two sides. For example, a + b.

3. If the sum of a + b is less than or equal to c, then a triangle cannot be formed.

4. Repeat the process for the other two combinations (b + c and a + c).

5. If for any combination the sum of the lengths of two sides is less than or equal to the length of the third side, then a triangle cannot be formed.

This is because, in a triangle, any side should be shorter than the sum of the other two sides. If it's equal or longer, the two shorter sides would be unable to meet to form a triangle.

Construction of a triangle is not possible if :

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