Posted by JOE on Saturday, February 6, 2010 at 2:36pm.
Hello,
I'm not sure how to go about this question.
To get to work on the first day, Jose has the following directions.
Travel 15 miles due East.
Turn right and travel 12 miles due south.
Turn right again and travel 10 miles due West.
If Jose could travel in a straight line from his house to work, how many miles would he travel?

Math  Ms. Sue, Saturday, February 6, 2010 at 3:20pm
You end up with a right triangle with the two legs being 12 miles and 5 miles.
Use the Pythagorean theorem, with c representing the hypotenuse.
a^2 + b^2 = c^2
12^2 + 5^2 = c^2
144 + 25 = c^2
169 = c^2
13 = c

Math  JOE, Saturday, February 6, 2010 at 3:35pm
Ok, thanks. But how did you get 12 and 5?

Math  Ms. Sue, Saturday, February 6, 2010 at 5:00pm
He traveled 15 miles east and then 10 miles west.
15  10 = 5
He traveled 12 miles south.
That gives us a triangle.
He started at point A. Went to point B, and then to point C. He ended at point D. You need to find the distance betwen point A and point D.
B_______<___15____<______A (start)

v

12

v
___>____10__>___D
C
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