Bunuel wrote:
Michael drives x miles due north at arrives at Point A. He then heads due east for y miles. Finally, he drives z miles a straight line towards is starting point. If x, y, and z are integers, then how many miles did Michael drive if one of the legs of the journey was 5 miles?
(A) 5 miles
(B) 12 miles
(C) 25 miles
(D) 30 miles
(E) Cannot be determined by the information given.
Kudos for correct solution.
Since it is given that it travel north first , then east and finally meets the starting point so it constitutes a right angle triangle
since x,y,z are integers and 5 is the shortest distance.
Thus we know the sides of the right angle triangle and shortest side 5 is given by 5:12:13
SO the total distance traveled by him is 5+12+13=30. Option D
How did you reach the 5:12:13 triple? Just remembered it as one of the primitive Pitagorean triple or are there any kind of computation to use?