Question

By the Triangle Inequality Theorem, if two sides of a triangle have lengths of 6 and 13, what are the possible lengths of the third side? A) 7 < x < 18 B) 7 < x < 19 C) 8 < x < 18 D) 8 < x < 19

Answer 1

The answer is B

Explanation:

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Answer 2

B

Explanation:

By using the Triangle Inequality Theorem, we can say that the third side will be in between the SUM of the other two sides and DIfference of the other two sides.

The other 2 sides given lengths are 6 & 13.

Sum of 6 and 13 is 6 + 13 = 19, and

Difference of 13 and 6 is 13 - 6 = 7

Hence, the 3rd side will be between 7 and 19

Or, 7 < x < 19, answer choice B