SOLUTION: a man started walking from his house toward south. after walking 6 km, he turned to his left and walked 5km. then he walked further 3 km after turning left. he then turned to his l

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Question 884845: a man started walking from his house toward south. after walking 6 km, he turned to his left and walked 5km. then he walked further 3 km after turning left. he then turned to his left and continued his walk for 9 km. how far is he away from his house ?
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
South 6km
East 5km
North 3 km
West 9km
.
S 6 - N 3 = South 3 km
E 5 - W 9 = West 4 km
.
This becomes a right triangle problem with south and west the legs, and southwest the hypotenuse. 3,4,5 is the classic right triangle example. Here's how:
a%5E2+b%5E2=c%5E2
3%5E2+4%5E2= c%5E2
9 + 16 = c%5E2
25 = c%5E2
Take the square root of each side
5 = c
.
He is 5 km from home.