Problem 186 of 7
Use variables in a coordinate proof for rhombus with vertices (0,0), (a,0), (a+b,c), (b,c) where a = sqrt(b^2+c^2).
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prove generally with symbolic coordinates.
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Proof must use symbolic coordinates to show a general geometric property.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Write the coordinate formula with variables.
2. Simplify the symbolic distances, slopes, or midpoints.
3. Translate the equality or relationship into the geometric conclusion.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Substituting only one numerical example when a general proof is requested.