Question

27 determine if the side lengths could form a triangle. 10 m, 5 m, 5 m

Explanation:

Step1: Apply triangle inequality theorem

The triangle inequality theorem states that for any triangle with side lengths \(a\), \(b\), and \(c\), the following must hold: \(a + b>c\), \(a + c>b\), and \(b + c>a\). Let \(a = 10\), \(b = 5\), \(c = 5\).
Check \(b + c>a\): \(5+5\) and \(10\).

Step2: Compare the sums

Calculate \(5 + 5=10\). But the triangle - inequality requires \(b + c>a\) (i.e., \(10>10\) is false).

Answer:

No, the side lengths \(10\space m\), \(5\space m\), \(5\space m\) cannot form a triangle.