Question

Which of the following are possible side lengths

for a triangle?
A. 8, 16,4
B. 3, 6, 9
C. 3, 12, 10

Answer 1

• C. 3, 12, 10

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According triangle inequality theorem the sum of any two sides of a triangle is greater than the third side.

Apply this to our options, add up the two shortest sides and compare with the longest side.

Option A

• 8 + 4 < 16, no, it is impossible to build a triangle.

Option B

• 3 + 6 = 9, no, it is impossible to build a triangle.

Option C

• 3 + 10 > 12, yes, possible triangle.