Can the sides of a triangle have lengths 2, 5, and 16? Yes or No

Question

Giovanna Ellis

Mathematics

24 September, 22:26

Can the sides of a triangle have lengths 2, 5, and 16? Yes or No

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Answers (1)

Know the Answer?

Skyler Hudson · Answer 1

No.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. In your case, 2 plus 5 is 7, which is less than 16, thus making it impossible for those side lengths to form a triangle.