The girls from the house came 240 meters north and then 70 meters west. How far (meters)

The girls from the house came 240 meters north and then 70 meters west. How far (meters) from the house were they?

If we depict the path of the girls in the figure, then we get a right angle. And by connecting with a conventional line the place where the girls are and the place of their home, we get a right-angled triangle in which two legs are known and we need to find the hypotenuse. Hypotenuse is the distance at which girls are from home, that is, the shortest gap between two points.
Let’s use the Pythagorean theorem and find the hypotenuse:
c = √a² + b² = √240² + 70² = √57600 + 4900 = √62500 = 250 meters.
Answer: the girls were at a distance of 250 meters from the house.



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