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-pla

Tinku Tara June 3, 2023 Geometry 0 Comments

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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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-pla

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