Question

NO LINKS!! URGENT HELP PLEASE!!! Part 2

For 2, 4, and 6, Determine if the side lengths could form a triangle. Use an inequality to prove your answer.

2. 18 in, 6 in, 13 in

4. 29 ft, 38 ft, 9 ft

6. 31 yd, 14 yd, 19 yd

Answer 1

2. Yes as 6 + 13 > 18

4. No as 29 + 9 = 38

6. Yes as 14 + 19 > 33

Explanation:

Triangle Inequality Theorem

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

Question 2

To determine if the given side lengths could form a triangle, sum the two shortest sides and observe if the sum is greater than the length of the longest side.

• 6 + 13 > 18

• 19 > 18

Therefore, as the sum of the shortest two sides is greater than the length of the longest side, the given side lengths can form a triangle.

Question 4

To determine if the given side lengths could form a triangle, sum the two shortest sides and observe if the sum is greater than the length of the longest side.

• 29 + 9 = 38

• 38 = 38

Therefore, as the sum of the shortest two sides is equal to the length of the longest side, the given side lengths cannot form a triangle.

Question 6

To determine if the given side lengths could form a triangle, sum the two shortest sides and observe if the sum is greater than the length of the longest side.

• 14 + 19 > 31

• 33 > 31

Therefore, as the sum of the shortest two sides is greater than the length of the longest side, the given side lengths can form a triangle.

Answer 2

2) Yes, 4) No, 6) Yes

---------------------

Use triangle inequality theorem, according to which:

• The sum of the smaller two side lengths must be greater than the longest side.

Q2)

• 6 + 13 = 19 > 18, this is a yes

Q4)

• 9 + 29 = 38, this is a no

Q6)

• 14 + 19 = 33 > 31, this is a yes