SOLUTION: Whenever she visits Springfield, Lara has to drive 12 miles due north from home. Whenever she visits Richmond, she has to drive 16 miles due east from home. How far apart are Sprin

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Question 1075232: Whenever she visits Springfield, Lara has to drive 12 miles due north from home. Whenever she visits Richmond, she has to drive 16 miles due east from home. How far apart are Springfield and Richmond, measured in a straight line?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
S
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-12
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H--------16--------------R
Springfield and Richmond are the hypotenuse of a right triangle with sides 12 and 16. The hypotenuse distance squared is 12^2+16^2=400, and the hypotenuse is 20 miles distance. This is also 4 times a 3-4-5 right triangle.