Question

question 1 1 pts the following three sides could make a triangle: 11, 12 and 13. true false question 2 1 pts the following three sides could make a triangle: 8, 14 and 9. true false

Explanation:

Question 1

Step1: Recall triangle inequality theorem

For three sides \(a\), \(b\), \(c\) to form a triangle, the sum of any two sides must be greater than the third side. So we check three conditions: \(a + b>c\), \(a + c>b\), \(b + c>a\).

Step2: Check for sides 11, 12, 13

1. \(11 + 12=23>13\)
2. \(11 + 13 = 24>12\)
3. \(12+13 = 25>11\)

All three conditions are satisfied.

Step1: Recall triangle inequality theorem

For three sides \(a\), \(b\), \(c\) to form a triangle, the sum of any two sides must be greater than the third side. So we check three conditions: \(a + b>c\), \(a + c>b\), \(b + c>a\).

Step2: Check for sides 8, 14, 9

1. \(8 + 9=17>14\)
2. \(8 + 14=22>9\)
3. \(9 + 14 = 23>8\)

All three conditions are satisfied.

Answer:

True

Question 2