Question

the segments shown below could form a triangle. a c b 9 7 16 c b a a. true b. false

Explanation:

Step1: Recall triangle - inequality theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Step2: Check side - length sums

Let the side - lengths be \(a = 7\), \(b = 9\), and \(c = 16\).
Check \(a + b\): \(7+9=16\).
According to the triangle - inequality theorem, \(a + b\) should be greater than \(c\). But here \(7 + 9=16\) which does not satisfy the condition.

Answer:

B. False