131,996 views
39 votes
39 votes
Two sides of a triangle measure 8 cm and 11 cm. Which one of these statements about the length of the third side is true?

Its length is 3 cm.
Its length is less than 3 cm.
Its length is greater than 19 cm.
Its length is greater than 3 cm but less than 19 cm.

User SergeevDMS
by
2.8k points

2 Answers

19 votes
19 votes

Answer:

The last statement is true.

Explanation:

In a triangle the sum of any 2 sides must be greater than the other side.

First choice: 8 + 3 = 11 whereas 8 + 3 should be > than third side so this statement (it's length is 3 cm) is false.

Second choice: 8 + ( less than 3) is less than 11 so this statement is false

Third choice: 19 = 8 + 11 but the side is > 19 so this statement is false

Fourth choice: Let third side have length 4, then 8 + 4 > 11 and if it has length 18.9 then 8 + 11 > 18.9 so this statement is true.

User Qidong
by
2.6k points
12 votes
12 votes

Answer:

its length is greater than 3cm but less than 19cm

Explanation:

all triangles have to have at least two sodes thr same length

User Hijiri
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.