Question

(d) can these be the side lengths of a triangle? 3 m, 3 m, 7 m yes no triangles with these measurements select

Explanation:

Step1: Recall Triangle Inequality Theorem

The triangle inequality theorem states that for three side lengths \(a\), \(b\), and \(c\) to form a triangle, the sum of any two sides must be greater than the third side. Mathematically, this means:

• \(a + b > c\)
• \(a + c > b\)
• \(b + c > a\)

Step2: Apply the theorem to the given sides

Given side lengths: \(a = 3\) m, \(b = 3\) m, \(c = 7\) m.

First, check \(a + b > c\):
\(3 + 3 = 6\)
Since \(6\) m is not greater than \(7\) m (\(6
ot> 7\)), the sum of the two shorter sides is not greater than the longest side.

Answer:

No (because \(3 + 3 = 6\) which is not greater than \(7\), violating the triangle inequality theorem)