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Which of the following sets of numbers could be the lengths of the sides of a triangle?

A. 2, 4, 6
B. 4, 8, 2
C. 8, 3, 6
D. 12, 8, 3

User Tudor
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2 Answers

2 votes
I believe the answer is answer is C
User David Foerster
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4 votes

Answer is C. 8, 3, 6

To answer this, you must know the Triangle Inequality Theorem.

The two shortest sides when added together, must be greater than the longest side.

A. 2 + 4= 6 which can't work since it equals the longest side of 6

B. 4 +2=6 The sum would be less than 8, which doesn't work

C. 6 +3 = 9 the sum is greater than 8, which makes it a triangle

D. 3 +8 = 11 11 is less than 12

User Abhimanyu Daspan
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