Question

1. choose the correct answer.

1.
8 cm
2.
4 cm
3.
3 cm
the set of line segments ____ meet the requirements to form a triangle.
does
does not

1. choose the correct answer.

1.
6 cm
2.
6 cm
3.
7 cm
the set of line segments ____ meet the requirements to form a triangle.
does not
does

Explanation:

Question 15

Step1: Recall triangle inequality theorem

For three lengths \(a\), \(b\), \(c\) (where \(a \geq b \geq c\)), the sum of the two smaller sides must be greater than the largest side: \(b + c > a\).

Step2: Identify the lengths

The lengths are \(8\) cm, \(4\) cm, \(3\) cm. Sort them: \(8\), \(4\), \(3\) (so \(a = 8\), \(b = 4\), \(c = 3\)).

Step3: Check the inequality

Calculate \(b + c = 4 + 3 = 7\). Compare with \(a = 8\). Since \(7
ot> 8\), the inequality fails.

Step1: Recall triangle inequality theorem

For three lengths \(a\), \(b\), \(c\) (where \(a \geq b \geq c\)), \(b + c > a\).

Step2: Identify the lengths

The lengths are \(7\) cm, \(6\) cm, \(6\) cm. Sort them: \(7\), \(6\), \(6\) (so \(a = 7\), \(b = 6\), \(c = 6\)).

Step3: Check the inequality

Calculate \(b + c = 6 + 6 = 12\). Compare with \(a = 7\). Since \(12 > 7\), the inequality holds.

Answer:

does not

Question 16