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To determine if three lengths can form a triangle, we need to check if they satisfy the **Triangle Inequality Theorem**. This theorem states that for three lengths to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. 

For lengths 7, 14, and 16, we’ll check:

1. \( 7 + 14 > 16 \): **21 > 16**, which is true.
2. \( 7 + 16 > 14 \): **23 > 14**, which is true.
3. \( 14 + 16 > 7 \): **30 > 7**, which is true.

Since all three inequalities are satisfied, **the sides with lengths 7, 14, and 16 can indeed form a triangle**. The answer is "Yes."

Would you like more details, or have any questions?

Here are some related questions:
1. What is the Triangle Inequality Theorem, and why is it important?
2. Can any three lengths form a triangle, or are there conditions?
3. If a triangle has sides 8, 15, and 17, would it form a valid triangle?
4. How can we determine if a triangle is right-angled using side lengths?
5. Can the side lengths of a triangle be negative? Why or why not?

**Tip:** The Triangle Inequality Theorem is a fundamental property to check if three lengths can make a triangle—it ensures the geometric feasibility of the shape.

Can the sides of a triangle have lengths 7, 14, and 16?

Learn if the lengths 7, 14, and 16 can form a triangle using the Triangle Inequality Theorem. This geometry problem covers the application of the triangle inequality rule, making it ideal for students in Grades 6-8.

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