Question

which of the following options is not true? option 1: ( a + b > c ) option 2: ( c + b = a ) option 3: ( a + c > b ) (1 point) option (square) is not true. check answer remaining attempts: 3

Explanation:

Step1: Recall Triangle Inequality

In a triangle, the sum of any two sides is greater than the third side. Let \(a\), \(b\), \(c\) be sides of a triangle. So \(a + b>c\), \(a + c>b\), \(b + c>a\) (not \(c + b=a\)).

Step2: Analyze Each Option

• Option 1: \(a + b>c\) (follows triangle inequality, true).
• Option 2: \(c + b=a\) (violates triangle inequality, since sum of two sides should be greater, not equal, false).
• Option 3: \(a + c>b\) (follows triangle inequality, true).

Answer:

Option 2: \(c + b = a\)