Find the Square’s Area Using Just Three Distances

A point inside a square is 5, √65, and √85 units from three consecutive corners. Can you find the exact area? Follow this visual, step-by-step solution using the Pythagorean theorem, coordinate geometry, and a useful trick: subtracting squared-distance equations. #Geometry #MathPuzzle #CoordinateGeometry #PythagoreanTheorem #SquareArea #Algebra #QuadraticEquations #GeometryProblem #ProblemSolving #MathChallenge #MathTutorial #LearnMath #MathEducation #STEM