Question

Can the sides of a triangle have lengths 3, 7, and 8?

Answer 1

Using the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side, we find that the lengths of 3, 7, and 8 comply with this rule, meaning these side lengths can indeed form a triangle.

Step-by-step explanation:

To determine whether sides of a triangle can have lengths 3, 7, and 8, we need to consider the Triangle Inequality Theorem. This theorem states that in any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Using this theorem:

• The sum of the two smaller sides: 3 + 7 = 10
• The length of the largest side: 8

Since 10 is greater than 8, these side lengths could indeed form a triangle. Therefore, yes, sides with lengths 3, 7, and 8 can make up a triangle.

Answer 2

yes

Step-by-step explanation:

As long as it has 3 sides it