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Erik is sailing a boat in a race that has a triangularcourse. The first leg is 9 miles and the second leg is 7miles. Which of the following could be the last leg?A. 16 milesB. 14 milesC. 2 milesD. 18 miles

Sagot :

In this question, we can use the triangle inequality theorem which states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

The sum of the first leg and second leg of the triangular course is 9 + 7 = 16 miles

Then the third leg must be less than 16 miles.

We can rule out option A, because the measure must be less, not equal, and option D because a measure of 18 miles is greater than 16 and does not fulfill the theorem.

Option C does not seem reasonable, so Option B 14 miles is the one that fits best to be the measure of the last leg.

Answer: Option B. 14 miles

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