Question

You can you make a triangle with side lengths 7,4,8
O True
O False

Answer 1

You can indeed form a triangle with side lengths of 7, 4, and 8, as confirmed by the Triangle Inequality Theorem which states that the sum of any two sides must be larger than the third.

Step-by-step explanation:

To determine whether a triangle can be made with side lengths of 7, 4, and 8, we can use the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side to form a valid triangle. So, we check:

• 7 + 4 > 8
• 7 + 8 > 4
• 4 + 8 > 7

All three conditions must be true for a triangle to exist. Performing the addition, we find:

• 11 > 8
• 15 > 4
• 12 > 7

Since all three conditions are met, it's true that a triangle can be formed with side lengths 7, 4, and 8.