A person travels 6 km north, then 8 km west. What is the shortest distance from the starting point?
Correct answer: A. 10 km
- A. 10 km
- B. 12 km
- C. 14 km
- D. 8 km
Explanation
The shortest distance from the starting point is the hypotenuse of a right triangle with legs measuring 6 km and 8 km. According to the Pythagorean theorem, the hypotenuse is calculated as: √(6² + 8²) = √(36 + 64) = √100 = 10 km. Therefore, the correct answer is 10 km. Options 12 km and 14 km are incorrect as they do not satisfy the Pythagorean theorem for these side lengths, and 8 km is simply the length of one leg of the triangle.
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