SOLUTION: 1: To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest hundreth of a meter, ho

Algebra ->  Pythagorean-theorem -> SOLUTION: 1: To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest hundreth of a meter, ho      Log On


   



Question 946204: 1: To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest hundreth of a meter, how many meters would be saved if it were possible to walk through the pond?
21.74
34
53.26
75
Could someone show how this problems works? I have tried
34 squared plus 41 squared equals C squared
1156 plus 1681 equals C squared
2837 equals C squared
C equals 53.26

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So to walk this way from A to B you actually walk, 34%2B41=75m.
If you could walk straight through, those distances would form the legs of a right triangle and the distance would be the hypotenuse.
D%5E2=34%5E2%2B41%5E2
D%5E2=1156%2B1681
D%5E2=2837
D=sqrt%282837%29
So then you could have saved,
DELTA=75-sqrt%282837%29
which is approximately,
DELTA=21.7365