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determine whether the set of lengths forms a right, acute, or obtuse tr…

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 \(a + b>c\) must hold. Here \(a = 4\), \(b = 10\), \(c=14\). Then \(4 + 10=14\), and \(14
ot>14\).

Answer:

These lengths do not form a triangle.