Question

question 4 of 10
the segments shown below could form a triangle.
a
c
b
9
8
17
c
b
a
a. true
b. false

Explanation:

Step1: Apply triangle inequality theorem

For three side lengths \(a\), \(b\), \(c\) (where \(a\leq b\leq c\)), the sum of the two shorter sides must be greater than the longest side. Here \(a = 8\), \(b=9\), \(c = 17\).

Step2: Check the sum of the two shorter sides

Calculate \(a + b\): \(8+9=17\)

Step3: Compare with the longest side

Since \(17 = 17\) (not \(17>17\)), the triangle inequality is not satisfied.

Answer:

B. False