Question

could 12.2 cm, 6.0 cm, and 4.2 cm be the side lengths of a triangle? choose 1 answer: a yes b no

Explanation:

Step1: Check triangle inequality

For three side lengths \(a\), \(b\), \(c\) (\(a\geq b\geq c\)), the triangle inequality is \(b + c> a\). Here \(a = 12.2\), \(b = 6.0\), \(c=4.2\).
Calculate \(b + c\):
\(6.0+4.2=10.2\)

Step2: Compare with \(a\)

Compare \(10.2\) and \(12.2\). Since \(10.2<12.2\), the triangle inequality is not satisfied.

Answer:

B. No