SOLUTION: Starting from city A, a car drives 250 miles east to city b, then 300 miles north to city c, and finally 700 miles west to city d.what is the distance between city a and city D

Question 394102: Starting from city A, a car drives 250 miles east to city b, then 300 miles north to city c, and finally 700 miles west to city d.what is the distance between city a and city D
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Starting from city A, a car drives 250 miles east to city b, then 300 miles north to city c, and finally 700 miles west to city d.what is the distance between city a and city D
...
Draw a sketch ABCD as per the directions
..
AB = 250 miles (east)
BC = 300 miles ( north)
CD= 700 miles (west)
..
Draw a perpendicular from A meeting CA at D
we have to find distance AD
..
AD is the hypotenuse of the right triangle ADC
AD = BC = 300
DC= CA-CD but CD = AB= 250 So DC = 700-250= 350 miles
AC^2= AD^2+DC^2
AC^2= 300^2+350^2
AC^2= 212,500
AC = sqrt (212,500)
461 miles
...
m.ananth@hotmail.ca
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