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#euclidean #geometry #GeometryChallange #ThinkOutsideTheBox #ProblemSolving
En övning i matematisk källkritik.🤯
Har ett kort bevis på att "kvadraten" enligt källan i själva verket är en rektangel. Det finns ingen lösning utifrån en perfekt kvadrat.👇🧩

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|OA| = a
|OB| = b
|AB| = c
prove: r = a+b - c


✒️ puzzled

Radius of small circle ?


#euclidean #geometry #GeometryChallange
#ThinkOutsideTheBox #ProblemSolving
I samarbete mellan Handelshögskolan, Göteborgs universitet och Institut Mittag-Leffler.


Find area


#GeometryChallange #ThinkOutsideTheBox #ProblemSolving
A and B are tangent points
O is center of the circle of radius R
M is center of the circle of radius 1
K is center of the circle of radius r
|AP| = 3
|BP| = 5
Find the value of r.

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Find the value of the area G = ?

#euclidean #geometry #GeometryChallange
#ThinkOutsideTheBox #ProblemSolving
#MathPuzzle #BrainTeaser
#RiddleTime #LogicalThinking
#MindGames #MathChallenge 🧩
Solution: |MD| = 8 - √15
(Some guidelines to the solution👇)

#GeometryChallange
#ProblemSolving
#MathPuzzle 🧩
Since the solution near
r = 3.800393
imply
r^4*(√(6^2 - r^2)+√(8^2 - r^2)+√(10^2 - r^2))^2 = (6^2 - r^2)*(8^2 - r^2)*(10^2 - r^2)
imply
60*r^3 + 769*r^2 - 14400 = 0
therefore
Area(circle) = π r^2 ≈ 45.37 (u^2)
Solve for the quotient q=Green area/Blue area

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