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3 years ago

10. To get from point A to point B you must avoid walking through a pond. To

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

5 0

Answer:

22 meters.

Step-by-step explanation:

There is a pond between two points A and B.

To avoid the pond, one must walk to the south from point A to point C (say) by 34 meters and then to the east from point C to point B by 41 meters.

Now, it is clear that Δ ABC is a right triangle with AB as the hypotenuse that is the minimum distance from A to B through the pond.

The two legs of the right triangle are AC and CB.

Applying Pythagoras Theorem, AB² = AC² + CB² = 34² + 41² = 2837

⇒ AB = 53 meters (Rounded to the nearest meter)

Therefore, (34 + 41) - 53 = 22 meters will be saved if it were possible to walk through the pond. (Answer)

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