Geometry

The captain of a boat is planning to travel to three islands in a triangular pattern where one side of the side island is 75 miles and the other side is 32 miles. What is the possible range for the number of miles round trip the boat will travel?

Answer: between 150 and 214 miles

Please explain how did they get the answer. Thanks

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  1. Not quite sure what

    "one side of the side island"

    means. However, if you mean that one side of the triangle is 75 and the other is 32, then we know that the third side x must obey

    75-32 < x < 75+32
    43 < x < 107

    Now use that to see the bounds of the perimeter (the sum of all 3 sides)

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  2. hi sally heh

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