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Question Number 6830 by Rasheed Soomro last updated on 30/Jul/16

A, B, and C are three non-collinear points such  that ∣AB∣=c , ∣BC∣=a  and  ∣CA∣=b.  What will be the condition for a point D to be  concircle with A, B  and C when all the four  points belong to same plane?

$${A},\:{B},\:{and}\:{C}\:{are}\:{three}\:{non}-{collinear}\:{points}\:{such} \\ $$$${that}\:\mid{AB}\mid={c}\:,\:\mid{BC}\mid={a}\:\:{and}\:\:\mid{CA}\mid={b}. \\ $$$${What}\:{will}\:{be}\:{the}\:{condition}\:{for}\:{a}\:{point}\:{D}\:{to}\:{be} \\ $$$${concircle}\:{with}\:{A},\:{B}\:\:{and}\:{C}\:{when}\:{all}\:{the}\:{four} \\ $$$${points}\:{belong}\:{to}\:{same}\:{plane}? \\ $$

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