Asked by Anonymous
A home in rural area located at A (22,-24) IS CONVERTING TO NATURAL GAS HEATING. They will be connecting the home to a main gas line with the end points G (-16,-30) and H (38,42) Each unit represents 1m. At what point should the builder connect to the main gas lines to minimize cost.
Answers
Answered by
Reiny
Find the general equation of the line through G and H, using
your favourite method.
You want the shortest distance from point A to the line you found
If the coordinates of a point are (a,b)
then the shortest distance to Ax + By + C = 0
= |aA + bB + C|/√(A^2 + B^2)
once you have the equation, just plug in and grind it out
your favourite method.
You want the shortest distance from point A to the line you found
If the coordinates of a point are (a,b)
then the shortest distance to Ax + By + C = 0
= |aA + bB + C|/√(A^2 + B^2)
once you have the equation, just plug in and grind it out
Answered by
Anonymous
Alright I found the answer I believe. Thanks
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