Triangles: Theorems and Problems 14




Carnot's
Theorem in an Acute Triangle. 

Carnot's
Theorem in an Obtuse Triangle. 

Geometry Problem 596
Quadrilateral, Right Triangle, Isosceles, Midpoint. 

Geometry Problem
595
Triangle, Equal Angles, Isogonal Conjugate, Similarity. 

Geometry Problem
594
Triangle, Incenter, Incircle, Inradius, Tangency Point, Midpoint, Altitude, Angle, Half the Difference. 

Geometry Problem
593
Triangle, Circumcircle, Collinear Points. 

Geometry Problem
592
Triangle, Incenter, Incircle, Tangency Point, Midpoints, Concurrent Lines, Congruence. 

Geometry Problem
591
Triangle, Incenter, Incircle, Inradius, Tangency Point, Midpoint, Altitude. 

Geometry Problem
590.
Triangle, Incenter, Incircle, Tangency Point, Midpoint, Areas. 

Geometry Problem
589
Triangle, Incenter, Incircle, Tangency Points, Midpoint, Perpendicular, Distance. 

Geometry Problem
588
Triangle, Incenter, Incircle, Tangency Points, Midpoints, Distance, Sum. 

Geometry Problem
587
Triangle, Incenter, Incircle, Tangency Point, Midpoint, Distance, Half the Difference. 

Geometry Problem
586
Cyclic Quadrilateral, Diagonals, Any Point, Circumcenters, Circumcircles, Concurrency. 

Problem
583
Quadrilateral, Diagonals, Circumcenters, Parallelogram, Octagon, Areas. 

Problem
580
Triangles, Equal Angle, Transversal, Product of Sides, Areas. 

Problem
577.
Isosceles triangle, Midpoint, Perpendicular, Concyclic points, Circle. 

Problem
576.
Centroid, Triangle, Quadrilateral, Parallel, Measurement. 

Problem
572.
Right triangle, Median, Circle, Diameter, Excircle, Tangent circles. 

Problem
568.
Triangle, Excircles, Tangency Point, Congruence. 

Problem
567.
Right triangle, Incircle, Excircle, Collinear tangency points. 

Problem
565.
Triangle, Isogonal lines, Angles, Congruence, Concyclic Points. 
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