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24 votes
24 votes
I know the length but it doesn't make sense which length I would have to choose.

I know the length but it doesn't make sense which length I would have to choose.-example-1
I know the length but it doesn't make sense which length I would have to choose.-example-1
I know the length but it doesn't make sense which length I would have to choose.-example-2
User Twg
by
2.7k points

1 Answer

25 votes
25 votes

Answer: The second side must be greater than 50.3 cm

Step-by-step explanation:

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.

From the information given, the lengths of two sides are 26.9 and 77.2

Let x represent the length of the third side. Thus,

difference of two sides < x < sum of two sides

By substituting the values,

77.2 - 26.9 < x < 26.9 + 77.2

50.3 < x < 104.1

Thus, the possible length must be greater than 50.3

User Brent C
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2.9k points