A triangle ABC has two sides of measure 6 cm and 8 cm. What is the possible length of the third side of this triangle?

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18 cm

14 cm

2 cm

5 cm

answer is B.

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Detailed Solution

Triangle ABC has two sides of measure 6 cm and 8 cm.
The possible length of the third side of this triangle is given by: Difference of the other two sides < Length of the third side < Sum of the other two sides
⇒ 8−6 < Length of the third side < 8+6

⇒ 2 cm < Length of the third side < 14 cm

Among options, the only possible length is 5 cm.

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