Question

determine whether the set of lengths forms a right, acute, or obtuse triangle. 4 m, 10 m, 14 m

Explanation:

Step1: Check triangle inequality

For three side lengths \(a\), \(b\), \(c\) (\(c\) is the longest side), the triangle inequality states \(a + b>c\). Here \(a = 4\), \(b = 10\), \(c = 14\). Then \(4+10=14\), which does not satisfy \(a + b>c\).

Step2: Conclusion

Since the triangle inequality is not met, these lengths do not form a triangle.

Answer:

These lengths do not form a triangle.