Online Geometry: Triangles, Theorems and Problems

Online Geometry

Triangles Theorems and Problems- Page 6

Triangles

Geometry problem 1144

Geometry Problem 1144.
Three Equal Squares, Diagonals, Perpendicular, 90 Degrees, Angle Bisector.

Geometry problem 1143

Geometry Problem 1143.
Triangle, Circumcircle, Tangent Line, Reflection of a Point over a Line, Tangent Circles, Collinear Points.

Geometry problem 1142

Geometry Problem 1142.
Cyclic Quadrilateral, Isogonal Lines, Circle, Center, Radius, Perpendicular Bisector, Circumcenter.

Geometry problem 1141

Geometry Problem 1141.
Inscribed Pentagon, Circle, Triangle, Congruence, Midpoint, Concurrency.

Geometry problem 1140

Geometry Problem 1140.
Triangle, Circumcircle, Circle, Center, Collinear Points.

Geometry problem 1139

Geometry Problem 1139.
Triangle, Circumcircle, Angle Bisector, Parallel Lines, 90 Degrees, Concurrent Lines.

Geometry problem 1138

Geometry Problem 1138.
Square, Perpendicular, Angle, 90 Degrees, Triangle, Congruence.

Geometry problem 1137

Geometry Problem 1137.
Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint, Arc, Collinear Points, Tangent Circles.

Geometry problem 1136

Geometry Problem 1136.
Triangle, Circumcircle, Orthocenter, Midpoint, Arc, 90 Degrees, Angle.

Geometry problem 1135

Geometry Problem 1135.
Intersecting Circles, Secant, Parallel Line, 90 Degrees, Similar Triangles.

Geometry problem 1134

Geometry Problem 1134.
Tangent Circles, Tangent Line, Triangle, Circumcircle, Circumcenter.

Geometry problem 1133

Geometry Problem 1133.
Circle, Chord, Tangent, Circumcircle, Similarity, Equal Product.

Geometry problem 1132

Geometry Problem 1132.
Triangle, Excircle, Tangency Point, Parallel, Midpoint.

Geometry problem 1131

Geometry Problem 1131.
Triangle Area, Two Cevians, Equal Product of Areas.

Geometry problem 1129

Geometry Problem 1129.
Isosceles Triangle, Circumcenter, Incenter, Parallel Lines, Perpendicular Lines.

Geometry problem 1128

Geometry Problem 1128.
Right Triangles, Medians, Parallel, Angles, Congruence, Half the measure.

Geometry problem 1127

Geometry Problem 1127.
Triangle, Circumcircle, Tangent, Circle, Diameter, Midpoint, Perpendicular, 90 Degrees.

Geometry problem 1126

Geometry Problem 1126.
Equilateral Triangle, Circumcircle, Metric Relation, Harmonic Mean.

Geometry problem 1125

Geometry Problem 1125.
Triangle, Four Equilateral Triangles, Centroid, Midpoint.

Geometry problem 1124

Geometry Problem 1124.
Triangle, Median, Two Squares, Area.

Geometry problem 1123

Geometry Problem 1123.
Hexagon, Triangle, 90 Degrees, Perpendicular Lines, Vertices, Area.

Geometry problem 1122

Geometry Problem 1122.
Triangle, 90 Degree, Perpendicular Lines, Orthocenter, Altitude, Midpoint, Collinear Points.

Geometry Problem 1120

Geometry Problem 1120.
Isosceles Right Triangle, 120 Degree, Angle, Equilateral, Metric Relations.

Geometry Problem 1119

Geometry Problem 1119.
Quadrilateral, Similar Triangles, Midpoints, Equal Ratio, Angles.

Geometry Problem 1118

Geometry Problem 1118.
Right Triangle, Angle Trisection, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 1117

Geometry Problem 1117.
Right Triangle, Angle Trisection, 90 Degrees, Parallel Lines.

Geometry Problem 1116

Geometry Problem 1116.
Right Triangle, Angle Trisection, 90 Degrees, Perpendicular Lines.

Geometry Problem 1115

Geometry Problem 1115.
Right Triangle, Angle Trisection, Equilateral Triangle.

Geometry Problem 1114

Geometry Problem 1114.
Right Triangle, Angle Trisection, Isosceles, Congruence.

Geometry Problem 1113

Geometry Problem 1113.
Triangle, Perpendicular Bisector, 90 Degrees, Circle, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 1112

Geometry Problem 1112.
Triangle, Excenters, Circumcircle, Circle, Hexagon, Area.

Geometry Problem 1107

Geometry Problem 1107.
Triangle, Circumcircle, Circle, Radius, Tangent, Chord, Congruence.

Geometry Problem 1106

Geometry Problem 1106.
Regular Hexagon, Congruence, Diagonal, Collinear Points.

Geometry Problem 1105

Geometry Problem 1105.
Triangle, Incircle, Excircle, Cevian, Tangent, Congruence, Geometric Mean.

Geometry Problem 1104

Geometry Problem 1104.
Right Triangle, Incircle, Circumcircle, Inscribed Circle, Radius, Tangent.

Geometry Problem 1103

Geometry Problem 1103.
Right Triangle, Incircle, Inscribed Circle, Radius, Geometric Mean, Sangaku, Japanese, Metric Relations.

Geometry Problem 1102

Geometry Problem 1102.
Right Triangle, Incircle, Tangency Point, 90 Degree, Cathetus, Metric Relations.

Geometry Problem 1101

Geometry Problem 1101.
Triangle, Parallel Lines, Circle, Incircle, Inradius, Radius, Angle.

Geometry Problem 1100

Geometry Problem 1100.
Triangle, Circle, Centers, Vertex, Radius, Angle.

Geometry Problem 1092

Geometry Problem 1092.
Equilateral Triangle, Square, Circle, Tangent, 90 Degree, Sangaku.

Geometry Problem 1088

Geometry Problem 1088.
Triangles, Perpendicular, Concurrent Lines.

Geometry Problem 1084

Geometry Problem 1084.
Circle, Chord, Radius, Diameter, Parallel lines, 45 Degrees, Metric Relations.

Geometry Problem 1083

Geometry Problem 1083.
Semicircle, Diameter, Perpendicular, 90 Degrees, Tangent Line, Metric Relations.

Geometry Problem 1082

Geometry Problem 1082.
Square, Circle, Center, Radius, Side, Isosceles Triangle, 90 Degrees, Area.

Geometry Problem 1080

Geometry Problem 1080.
Square, Circle, Tangent, Side, Radius, Metric Relations.

Geometry Problem 1079

Geometry Problem 1079.
Quadrilateral, Isosceles Triangle, Diagonals, Double Angle.

Geometry Problem 1076

Geometry Problem 1076.
Square, 45 Degrees, Angle, Sum, Distance, Auxiliary Construction.

Geometry Problem 1075

Geometry Problem 1075.
Quadrilateral, Right Triangle, 90 Degrees, Isosceles, Midpoint, Distance.

Geometry Problem 1074

Geometry Problem 1074.
Quadrilateral, Right Triangle, Angles, 15, 22,5, 30, 90 Degrees.

Geometry Problem 1073

Geometry Problem 1073.
Triangle, Altitudes, Exterior Point, Distance, Ratio.

Geometry Problem 1072

Geometry Problem 1072.
Triangle, Altitudes, Interior Point, Distance, Ratio.

Geometry Problem 1068

Geometry Problem 1068.
Obtuse Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter

Geometry Problem 1067

Geometry Problem 1067.
Acute Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter.

Geometry Problem 1066

Geometry Problem 1066.
Triangle, Obtuse Angle, Orthocenter, Circumradius R, Inradius r, Exradius r
a, Distance, Diameter.

Geometry Problem 1065

Geometry Problem 1065.
Triangle, Acute Angle, Orthocenter, Circumradius R, Inradius r, Exradius r
a, Distance, Diameter.

Geometry Problem 1064

Geometry Problem 1064.
Triangle, Orthocenter, Altitudes, Circumradius, Sum of the Squares of Sides.

Geometry Problem 1063

Geometry Problem 1063.
Triangle, Orthocenter, Altitudes, Equal Product of the Lengths of Segments.

Geometry Problem 1062

Geometry Problem 1062.
Scalene Triangle with an angle of 60 degrees, Euler Line, Orthocenter, Circumcenter, Distance, Congruence, Transversal.

Geometry Problem 1061

Geometry Problem 1061.
Triangle, Inradius (r), Circumradius (R), Circumcircle, Angle Bisector, Distance from a point to a Line, Perpendicular.

Geometry Problem 1060

Geometry Problem 1060.
Triangle, Incircle, Incenter, Inscribed circle, Tangent, Angle.

Geometry Problem 1059

Geometry Problem 1059.
Triangle, Circumcircle, Orthocenter, Altitude, Perpendicular, Reflection of a Point over a Line, Collinear Points, Simson Line, Congruence.

Geometry Problem 1058

Geometry Problem 1058.
Triangle, Sum of the Areas, Altitude, Perpendicular, Circumcircle, Circle, Diameter.

Geometry Problem 1057

Geometry Problem 1057.
Triangle, Area, Circle with Perpendicular Diameters, Tangent, Secant.

Geometry Problem 1056

Geometry Problem 1056.
Triangle, Exradius, Reciprocals of the Altitudes, Multiplicative Inverse, Perpendicular, Excircle, Circle.

Geometry Problem 1055

Geometry Problem 1055.
Triangle, Altitude, Perpendicular, Area, Circumradius, Circle.

Geometry Problem 1054

Geometry Problem 1054.
Triangle, Altitude, Orthocenter, Circumcenter, Perpendicular, Midpoints.

Geometry Problem 1053

Geometry Problem 1053.
Triangle, Two Perpendicular Medians, Midpoint, Congruence.

Geometry Problem 1052

Geometry Problem 1052.
Triangle, Quadrilateral, Three Circumcircles, Circle, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 1051

Geometry Problem 1051.
Triangle, Square, Semicircle, Arc, Area.

Geometry Problem 1050

Geometry Problem 1050.
Regular Hexagon, Center, Any Point, Inside, Outside, Distance, Metric Relations, Congruence.

Geometry Problem 1049

Geometry Problem 1049.
Hexagon inscribed, Circle, Circumcircle, Congruence, Angles.

Geometry Problem 1046

Geometry Problem 1046.
Rectangle, Circle, Circumradius, Metric Relations.

Geometry Problem 1045

Geometry Problem 1045.
Quadrilateral, Diagonal, Triple Angle, Triangle, Congruence.

Geometry Problem 1044

Geometry Problem 1044.
Triangle, Parallelogram, Midpoint, Area.

Geometry Problem 1043

Geometry Problem 1043.
Right Triangle, Incenter, Excenter, Congruence, Metric Relations.

Geometry Problem 1042

Geometry Problem 1042.
Scalene Triangle, Isosceles, Equal Angles, Parallelogram, Congruence.

Geometry Problem 1041

Geometry Problem 1041.
Quadrilateral, Perpendicular, Diagonals, Congruence, Metric Relations.

Geometry Problem 1040

Geometry Problem 1040.
Isosceles Triangle, Transversal Line, Metric Relations.

Geometry Problem 1039

Geometry Problem 1039.
Isosceles Triangle, Circle, Tangent Line, Parallel Line.

Geometry Problem 1038

Geometry Problem 1038.
Isosceles Triangle, Angle, 80, 20, 25, 65 Degrees.

Geometry Problem 1037

Geometry Problem 1037.
Triangle, Three equal Incircles, Tangent lines, Inradius, Length.

Geometry Problem 1036

Geometry Problem 1036.
Triangle, Three equal Incircles, Tangent lines, Inradius, Equal Inradii.

Geometry Problem 1035

Geometry Problem 1035.
Triangle, Three equal Incircles, Tangent lines, Equivalent triangles, Equal area.

Geometry Problem 1034

Geometry Problem 1034.
Triangle, Three equal Incircles, Tangent lines, Isoperimetric triangles, Equal perimeter.

Geometry Problem 1033

Geometry Problem 1033.
Triangle, Angle Obtuse, Circumcircle, Diameter, Area.

Geometry Problem 1030

Geometry Problem 1030.
Quadrilateral, Triangle, Area, Midpoint, Parallel lines.

Geometry Problem 1029

Geometry Problem 1029.
Right Triangle, 90 Degrees, Angle, Midpoint, Congruence.

Geometry Problem 1028

Geometry Problem 1028.
Right Triangle, Double, Angle, Midpoint, Congruence.

Geometry Problem 1027

Geometry Problem 1027.
Triangle, Double, Quadruple, Angle, Congruence.

Geometry Problem 1026

Geometry Problem 1026.
Right Triangle, 90 Degrees, Triple Angle, Congruence.

Geometry Problem 1025

Geometry Problem 1025.
Triangle, Double, Triple, Angle, Interior Point.

Geometry Problem 1024

Geometry Problem 1024.
Contact, Gergonne Triangle, Point on an arc of Incircle, Perpendicular, Distances.

Geometry Problem 1023

Geometry Problem 1023.
Triangle, Contact, Gergonne, Product of three distances.

Geometry Problem 1021

Geometry Problem 1021.
Triangle, Cevian, Double Angle, Sides.

Geometry Problem 1016

Geometry Problem 1016.
Triangle, 45 Degrees, Area, Triangle, Quadrilateral, Altitude, Bisector.

Geometry Problem 1015

Geometry Problem 1015.
Right Triangle, Square, Altitude, Metric Relations.

Geometry Problem 1014

Geometry Problem 1014.
Square, Diagonal, 45 Degrees, Angle, Equal Areas, Triangle, Quadrilateral.

Geometry Problem 1013

Geometry Problem 1013.
Square, Line through the Center, Perpendicular, Distance, Metric Relations.

Geometry Problem 1012

Geometry Problem 1012.
Equilateral Triangle, Incenters, Inscribed Circles, Perpendicular, Concurrent Lines.

Geometry Problem 1011

Geometry Problem 1011.
Triangle, Angle Bisector, Vertex, Circle, Center, Radius, Parallel Lines.

Geometry Problem 1007

Geometry Problem 1007.
Hexagon, Midpoint, Triangle, Median, Centroid, Concurrency.

Geometry Problem 1005

Geometry Problem 1005.
Triangle, Circle, Circumcenter, Interior and Exterior Angle Bisector, 90 Degree, Perpendicular.

Geometry Problem 1004

Geometry Problem 1004.
Triangle with Squares, Perpendicular Bisectors, Concurrent Lines.

Geometry Problem 1003

Geometry Problem 1003.
Intersecting Circle, Circumcircle, Chord, Secant, Triangle, 90 Degree, Angle, Perpendicular Lines.

Geometry Problem 1002

Geometry Problem 1002.
Triangle, Circumcircle, Cevian, Parallel Lines, Cyclic Quadrilateral, Concyclic Points.

Geometry Problem 1001

Geometry Problem 1001.
Triangle, Circumcircle, Perpendicular, Perpendicular Bisector, Tangent, Collinear Points.

Geometry Problem 1000

Geometry Problem 1000.
Scalene Triangle, Isosceles, Angle, 120 Degree, Midpoint, Distance, Equilateral, Congruence, Perpendicular, Metric Relations.

Geometry Problem 999

Geometry Problem 999.
Right Triangle, Midpoint, Median, Double Angle, Congruence.

Geometry Problem 998

Geometry Problem 998.
Scalene Triangle, Isosceles, Angle, 120 Degree, Midpoint, Equilateral, Congruence.

Geometry Problem 997

Geometry Problem 997.
Equilateral Triangle, Vertices, Three Parallel Lines, Distance, Metric Relations.

Geometry Problem 992

Geometry Problem 992.
Triangle, Interior Point, Angles, 20, 30 , 40, 50 Degree.

Geometry Problem 991

Geometry Problem 991.
Triangle, Incircle, Tangency Points, Isosceles, Midpoint, Collinearity, Congruence, Circle.

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Last updated: Feb 8, 2015