SOLUTION: if the four corners of a plot of ground were labeled A, B, C, D and the distance between A & B is 375' B & C 375" and C and D 375." How far is it from A to C?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: if the four corners of a plot of ground were labeled A, B, C, D and the distance between A & B is 375' B & C 375" and C and D 375." How far is it from A to C?       Log On

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Question 1078592: if the four corners of a plot of ground were labeled A, B, C, D and the distance between A & B is 375' B & C 375" and C and D 375." How far is it from A to C?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Not cleanly described, and there may be a typo.
Are all distances between adjacent corners 375 feet?
Distances BC and CD are listed as 375" (375 inches);
distance AB is listed as 375' (375 feet),
and distance AD is not mentioned at all.
The angles at each corner are not mentioned either.
The plot shape could be a rhombus, like this .
with all sides of equal length, but no right angles.
Or maybe there are only three sides with the same length,
but no right angle at B, like this .
In either case, not knowing the angle at B,
we cannot use triangle ABC to calculate the length of AC.

Does the plot look like this ? A square?
In that case, with AB=BC=CD=DA=375 feet, and a right angle at B,
ABC is a right triangle, with hypotenuse AC, of length
sqrt%28%28375ft%29%5E2%2B%28375ft%29%5E2%29=sqrt%282%29%2A375ft=about530ft .