Question

The sum of the lengths of any two sides of a triangle is _____________ the third side of the triangle. a. double b. half c. greater thand.

Answer 1

The sum of the lengths of any two sides in a triangle is always greater than the length of the third side.

Step-by-step explanation:

In a triangle, the sum of the lengths of any two sides is always greater than the length of the third side. This is known as the Triangle Inequality Theorem.

For example, if a triangle has side lengths of 5 cm, 4 cm, and 3 cm:

• The sum of 5 cm and 4 cm is 9 cm, which is greater than 3 cm.
• The sum of 5 cm and 3 cm is 8 cm, which is greater than 4 cm.
• The sum of 4 cm and 3 cm is 7 cm, which is greater than 5 cm.

Therefore, the correct answer is c. greater than.

Learn more about Triangle Inequality Theorem