Answer :
Final answer:
According to the triangle inequality theorem, the given side lengths can form a valid triangle.
Explanation:
According to the triangle inequality theorem, in order for three side lengths to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, let's check if this condition is satisfied:
- 1.5 + 10.1 = 11.6 (greater than 14.9)
- 1.5 + 14.9 = 16.4 (greater than 10.1)
- 10.1 + 14.9 = 25 (greater than 1.5)
Since the sum of the two shorter sides is always greater than the longest side, the given side lengths of 1.5, 10.1, and 14.9 can form a valid triangle.
Learn more about Triangle Inequality Theorem here:
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