SOLUTION: city B is 8 miles east of city A. city C is 6 miles north of city B. city D is 16 miles east of city C, and city E is 12 miles north of city D. what is the distance from city A to

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Question 703613: city B is 8 miles east of city A. city C is 6 miles north of city B. city D is 16 miles east of city C, and city E is 12 miles north of city D. what is the distance from city A to city E?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Draw that exactly as you describe. There will be a point on line AB toward the right, and on the line DE downward at which lines AB and DE intersect. Call this point, R. You now have a triangle ARE (using the points, A, R, and E) and it is a Right triangle with angle at R being 90 degrees.

See that length AR is 8+16, and length ER is 12+6.

The length AE is the hypotenuse of this triangle. Use Pythagorean Theorem.
AE%5E2=AR%5E2%2BER%5E2, and find AE.
AR = 24, and ER = 18