Triangles: Theorems and Problems 7b

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

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

Geometry Problem 1088.
Triangles, Perpendicular, Concurrent Lines.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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