Triangle Inequality: Can 8, 10, and 14 Form a Triangle?

Published on October 9, 2026

Geometry

Determine whether side lengths of 8, 10, and 14 units can form a triangle. Apply the triangle inequality by checking that the sum of the two shorter sides exceeds the longest side.

Question

can a triangle have sides with the given lengths? explain

Answer

Yes. The sum of the two shorter sides is

, which is greater than

. Thus the triangle inequality is satisfied, so the sides can form a triangle. Choice A.

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