Trip with compass

During the trip, Peter went 5 km straight north from the cottage, then 12 km west and finally returned straight to the cottage. How many kilometers did Peter cover during the whole trip?

Correct result:

x =  30 km

Solution:

a=5 km b=12 km c=a2+b2=52+122=13 km  x=a+b+c=5+12+13=30 kma=5 \ \text{km} \ \\ b=12 \ \text{km} \ \\ c=\sqrt{ a^2+b^2 }=\sqrt{ 5^2+12^2 }=13 \ \text{km} \ \\ \ \\ x=a+b+c=5+12+13=30 \ \text{km}



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