Question

Tell whether the side lengths 3, 9, and 15 form a triangle. answers: No, because 9 + 3 isn’t greater than 15. Yes, because 15 + 9 is greater than 3. Yes, because the sum of any two sides is greater than 30. No, because 15 + 9 isn’t less than 3.

Answer 1

No, because 9 + 3 isn't greater than 15.

Explanation:

The Triangle Inequality Theorem states that the 2 shorter legs of a triangle's sum must add up to be greater than the hypotenuse or the longest side. So 3, 9, and 15 don't make a triangle.

Answer 2

The answer is no, because 9 + 3 isn't greater than 15. Remember, to form a triangle the sum of the 2 shortest sides must be greater than the longest side.