Can the following be the lengths of the sides of a triangle?

Can the lengths be the sides of a triangle?
No
Yes

To determine if these lengths can form a triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. Let’s check:

Since all conditions are satisfied, can indeed be the lengths of the sides of a triangle!

Triangles are fundamental shapes around us! Architects and engineers use triangular structures for their strength and stability. For instance, the triangular truss is a vital element in building bridges and roofs, allowing them to support heavy loads while minimizing material use.

When assessing potential triangle lengths, remember the triangle inequality can occasionally trip you up! A common mistake is forgetting to check all three pairs of sides. Always double-check all combinations—don’t let your triangle dreams go to waste just because you overlooked one little calculation!