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Zolol [24]
3 years ago
10

Which set of sides will make a triangle? -Middle School math-

Mathematics
2 answers:
belka [17]3 years ago
5 0
Answer: 10 cm, 5 cm, 9 cm

In order to make a triangle, the sum of the two shorter side lengths must be greater than the length of the longest side.

5, 2, 3    ⇒    5 = 5    ⇒    not a triangle
1, 3, 1      ⇒    2 < 3    ⇒    not a triangle
10, 3, 4   ⇒    7 < 10   ⇒    not a triangle
trasher [3.6K]3 years ago
3 0
Hey there!

The biggest side in the set of 3 lengths needs to be lower than the sum of the two lower numbers. So 3 is not lower than 1+1. 10 is not less than 3+4. 5 is the same as 3+2. This is not possible because this makes a line. So the biggest side can’t equal the sum of the two lower sides. 10 is less than 5+9. So the answer would be the last one. 10 cm, 5 cm, 9 cm.

I hope this helps!
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We also could have found the answer to part 2 by saying that we had 19 balloons left over when the students each were given 7 balloons
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