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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
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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