Online Geometry

Triangles: Theorems and Problems 8

Triangles

Geometry Problem 946

Geometry Problem 946.
Triangle, Quadrilateral, Area, Diagonal, Midpoint, Parallel.

Geometry Problem 945

Geometry Problem 945.
Triangle, Concurrent Lines, Cevians, Perpendicular, Angle Bisector.

Geometry Problem 944

Geometry Problem 944.
Triangle, Orthocenter, Altitude, Perpendicular, 90 Degrees, Parallel Lines.

Geometry Problem 943

Geometry Problem 943.
Triangle, Incircle, Inscribed Circle, Tangency Points, Parallel, Metric Relations.

Geometry Problem 942

Geometry Problem 942.
Triangle, Circles, Circumcircle, Sagitta, Incircle, Excircle, Inradius, Exradius, Metric Relations.

Problem 939

Geometry Problem 939.
Circle, Tangent, Secant, Chord, Parallel, Midpoint.

Problem 938

Geometry Problem 938.
Cyclic Quadrilateral, Triangle, Circumcircle, Circles, Circumcenter, Circumradius, Distance, Metric Relations.

Problem 937

Geometry Problem 937.
Triangle, Circumcircle, Circles, Tangent, Sides, Midpoint.

Problem 936

Geometry Problem 936.
Circle, Semicircle, Diameter, Tangent, Radius, Chord, Metric Relations.

Problem 935

Geometry Problem 935.
Square, Circle, Center, Perpendicular, Metric Relations.

Problem 933

Geometry Problem 933.
Square, Center, Transversal, Perpendicular, Metric Relations, Congruence.

Problem 932

Geometry Problem 932.
Square, Midpoint, Diagonal, Ratio 3:1, Angle Measure, Congruence.

Problem 931

Geometry Problem 931.
Square, Circle, Semicircle, Diameter, Triangle, Angle, Metric Relations.

Problem 930

Geometry Problem 930.
Acute Triangle, Altitudes, Circles, Diameter, Angle, Measure.

Problem 929

Geometry Problem 929.
Triangle, Orthocenter, Circumcircle, Reflection, Concurrency.

Problem 928

Geometry Problem 928.
Triangle, Midpoint, Median, Cevian, Concurrency, Area.

Problem 927

Geometry Problem 927.
Semicircle, Diameter, Radius, Equal Arcs, Chord, Triangle, Congruence.

Problem 926

Geometry Problem 926.
Two Equilateral Triangles, Midpoint, Perpendicular, Metric Relations.

Problem 924

Geometry Problem 924.
Quadrilateral, Diagonal, Perpendicular, Circle, Tangent, Midpoint, Metric Relations.

Problem 923

Geometry Problem 923.
Quadrilateral, Quadrangle, Obtuse Angle, Triangle, Diagonal, Inequality, Length.

Problem 922

Geometry Problem 922.
Circle, Tangent Lines, Tangency Points, Chord, Secant, Harmonic Mean.

Problem 921

Geometry Problem 921.
Right Triangle, Circumcircle, Arc, Midpoint, Tangency Point, Incircle.

Problem 920

Geometry Problem 920.
Triangle, Angles, 10, 20 Degrees, Congruence.

Problem 919

Geometry Problem 919.
Rhombus, Triangle, Perpendicular, 90 Degrees, Congruence.

Problem 918

Geometry Problem 918.
Triangle, Incenter, Incircle, Angle Bisector, Perpendicular, Metric Relations.

Problem 917

Geometry Problem 917.
Triangle, Congruence, Midpoints, Angle Bisector, Perpendicular.

Problem 916

Geometry Problem 916.
Cyclic Quadrilateral, Three Circles, Diameter, Congruence.

Problem 915

Geometry Problem 915.
Triangle, Intersecting Circles, Concyclic Points, Cyclic Quadrilateral.

Problem 914

Geometry Problem 914.
Triangle, Orthocenter, Angle Bisector, Parallel Lines, Midpoint.

Problem 913

Geometry Problem 913.
Right Triangle, Double Angle, Triple Angle, Metric Relations.

Problem 912

Geometry Problem 912.
Right Triangle, Double Angle, Triple Angle, Perpendicular Lines.

Problem 911

Geometry Problem 911.
Right Triangle, Double Angle, Triple Angle, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 902

Static Diagram of problem 902
Dynamic Geometry Problem 902
Triangle, Four Squares, Center, Concurrent Lines. GeoGebra, HTML5 Animation for Tablets

Geometry Problem 896

Geometry Problem 896
Triangle, Orthocenter, Midpoint, Median, Intersecting Circles, Diameter, Collinear Points.
GeoGebra, HTML5 Animation for Tablets

Geometry Problem 895

Geometry Problem 895
Triangle, Incircle, Tangency Points, Parallel line, Collinear Points.
GeoGebra, HTML5 Animation for Tablets

Geometry Problem 894

Geometry Problem 894
Triangle, Angle, 60 degrees, Incenter, Midpoint, Parallel Lines.
GeoGebra, HTML5 Animation for Tablets

Geometry Problem 893

Geometry Problem 893
Triangle, Circumcircle, Incenter, Circle, Tangent, Collinear Points.
GeoGebra, HTML5 Animation for Tablets

Geometry Problem 892

Geometry Problem 892
Triangle, 60 degrees, Orthocenter, Circumcenter.

Geometry Problem 889

Geometry Problem 889
Carnot's Theorem in an acute triangle, Circumcenter, Circumradius, Inradius. GeoGebra, HTML5 Animation for Tablets.

Problem 887

Geometry Problem 887
Triangle, Altitude, Angle Bisector, Perpendicular, Midpoint, Concyclic Points. GeoGebra, HTML5 Animation for Tablets.

Geometry Problem 882

Geometry Problem 882
Triangle, Angle x, 2x, 7x, Cevian, Congruence, Auxiliary Lines.

Geometry Problem 881

Geometry Problem 881
Triangle, three Squares, Centers, Areas.

Geometry Problem 880

Geometry Problem 880
Triangle, Midpoints, Sides, Perpendiculars, Hexagon, Area.

Geometry Problem 879

Geometry Problem 879
Square, Midpoint, Diagonal, Ratio 3:1, Angle Measure.

Geometry Problem 877

Geometry Problem 878
Square, Inscribed Circle, Quadrant, Center, Perpendicular, Metric Relations.

Geometry Problem 877

Geometry Problem 877
Square, Right Triangle, Similarity, Metric Relations, Transversal.

Geometry Problem 876

Geometry Problem 876
Equilateral Triangle, any Point, Perpendicular, Right Triangle Area, Sum of Areas.

Geometry Problem 875

Geometry Problem 875
Congruent Circles, Intersecting Circles, Secant, Center, Angle Trisection, Triple Angle.

Geometry Problem 874

Geometry Problem 874
Isosceles Triangle, Circumcircle, Circumcenter, Congruence.

Geometry Problem 873: Quadrilateral, Diagonal, Triangle, Angle Bisector, Congruence

Geometry Problem 873
Quadrilateral, Diagonal, Triangle, Angle Bisector, Congruence.

Geometry Problem 872: Quadrilateral, Triangle, Angle, 30, 90 degrees

Geometry Problem 872
Quadrilateral, Triangle, Angle, 30, 90 degrees.

Geometry Problem 870: Triangle, Median, Three Squares, Centers, Vertices, Collinear Points, Midpoint

Geometry Problem 870
Triangle, Median, Three Squares, Centers, Vertices, Collinear Points, Midpoint.

Geometry Problem 869: Triangle, Median, Three Equilateral Triangles, Collinear Points, Midpoint

Geometry Problem 869
Triangle, Median, Three Equilateral Triangles, Collinear Points, Midpoint.

Geometry problem 867, Isosceles Triangle, Median, Perpendicular, Angle, Congruence

Geometry Problem 867
Isosceles Triangle, Median, Perpendicular, Angle, Congruence.

Geometry problem 865, Parallelogram, Midpoint, Parallel

Geometry Problem 865
Parallelogram, Diagonal, Midpoint, Side, Triangle, Parallel, Similarity.

Geometry problem 854 about Parallelogram

Geometry Problem 864
Parallelogram, Diagonal, Congruence, Similarity, Metric Relations.

Circumscribed trapezoid, Inscribed Circle, Tangent

Geometry Problem 863
Circumscribed trapezoid, Inscribed Circle, Tangent, Metric Relations.

Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square

Geometry Problem 862:
Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square
.

Triangle, Incircle, Parallel, Tangent, Metric Relations

Geometry Problem 861
Triangle, Incircle, Parallel, Tangent, Metric Relations.

Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence

Geometry Problem 860
Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence.

Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector

Geometry Problem 859
Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector.

Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines

Geometry Problem 858
Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines.

Problem 856: Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines

Geometry Problem 857
Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines.

Problem 856: Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines

Geometry Problem 856
Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines.

Problem 855: Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines

Geometry Problem 855
Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines.

Problem 854: Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines

Geometry Problem 854
Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines.

Problem 853: Square, Arc, Quadrant, Triangle, Perpendicular, Metric Relations

Geometry Problem 853
Online Geometry Problem 853: Square, Arc, Quadrant, Triangle, Perpendicular, Metric Relations.

Problem 852: Triangle, Incircle, Inradius, Tangent, Metric Relations

Geometry Problem 852
Online Geometry Problem 852: Triangle, Incircle, Inradius, Tangent, Metric Relations.

Problem 851: Triangle, Triple side, Angles, 90 Degrees. Special Right triangle

Geometry Problem 851
Triangle, Triple side, Angles, 90 Degrees, Special Right triangle, Sides ratio 1:3.

Problem 850: Triangle, Double side, Angles, 90 Degrees. Special Right triangle

Geometry Problem 850
Triangle, Double side, Angles, 90 Degrees. Special Right triangle.

Special Right triangle, Catheti or legs ratio 1:3, 18.5 Degrees. Double angle

Geometry Problem 849
Special Right triangle, Catheti or legs ratio 1:3, 18.5 Degrees. Double angle.

Special Right triangle, Catheti or legs ratio 1:2, 26.5 Degrees. Double angle

Geometry Problem 848
Special Right triangle, Catheti or legs ratio 1:2, 26.5 Degrees. Double angle.

van Lamoen Circle, Triangle, Medians, Centroid, Six Circumcenters, Concyclic Points

Geometry Problem 847
van Lamoen Circle, Triangle, Medians, Centroid, Six Circumcenters, Concyclic Points.

Triangle, Medians, Centroid, Four Circumcenters, Concyclic Points, Cyclic Quadrilateral, Similarity

Geometry Problem 846
Triangle, Medians, Centroid, Four Circumcenters, Concyclic Points, Cyclic Quadrilateral, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 845
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 844
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

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