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Pythagoras and Right Triangles and Problems

Plane Geometry: Pythagoras, Right Triangle, Metric Relations

Right Triangles Theorems and Problems Index 2

Geometry Problem 1110

Geometry Problem 1110.
Right Triangle, External Squares, Catheti, Cathetus, Angle Bisector, 45 Degree, Internal Square.

Geometry Problem 1109

Geometry Problem 1109.
Right Triangle, External Squares, Catheti, Cathetus, 45 Degree, Angle.

Geometry Problem 1108

Geometry Problem 1108.
Right Triangle, External Squares, Catheti, Cathetus, Congruence, Harmonic 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 1075

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

Geometry Problem 1043

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

Geometry Problem 1018

Geometry Problem 1018.
Right Triangle, Circles, Angle.

Geometry Problem 1015

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

Geometry Problem 999

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

Geometry Problem 988

Geometry Problem 988.
Right Triangle, Cevians, Angles, 30 Degrees, Triple Angle.

Geometry Problem 976

Geometry Problem 976.
Isosceles Right Triangle, 45 Degrees, Incenter, Angle Bisector, Hypotenuse.

Geometry Problem 975

Geometry Problem 975.
Isosceles Right Triangle, 45 Degrees, Angle Bisector, Hypotenuse.

Geometry Problem 973

Geometry Problem 973.
Three Parallel, Square, Vertices, Distance Between Two Parallel Lines, Side, Metric Relations.

Geometry Problem 964

Geometry Problem 964.
Right Triangle, Cevians, Angles, 10, 20, 30 Degrees.

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.

Stewart Theorem

Geometry Problem 805, Stewart Theorem
Triangle, sides and a cevian.

Geometry Problem 876

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

Right Triangle, Altitude, Angle Bisector, Perpendicular, Measurement

Geometry Problem 803
Right Triangle, Altitude, Angle Bisector, Perpendicular, Measurement.

Problem 886

Geometry Problem 886
Right Triangle, Incenter, Angle Bisector, Perpendicular, 45 Degrees, Concyclic Points, Isosceles Right Triangle. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus).

de Gua's theorem

Geometry Problem 800: de Gua's Theorem
Pythagorean theorem in 3-D, Tetrahedron, Cubic Vertex, Triangular Pyramid, Apex, Height, Right Triangle Area, Base Area, Projected Area.

Right Triangle, Altitude, Incircles, CIrcumcircles, COngruence

Geometry Problem 794
Right Triangle, Altitude, Three Incenters, Circumcircles, Incircle, Congruence.

Right Triangle, Altitude, Three Incircles, Circumradius

Geometry Problem 793
Right Triangle, Altitude, Three Incircles, Incenters, Circumcircle, Circumradius, Perpendicular, Distance.

Right Triangle, Altitude, Angle Bisector, Three Incircles, Five Concyclic Points, Circles

Geometry Problem 792
Right Triangle, Altitude, Angle Bisector, Three Incircles, Five Concyclic Points, Circles.

Right Triangle, Altitude, Incenter, Angle Bisector, Inradius

Geometry Problem 790
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line, Congruence.

Right Triangle, Altitude, Angle Bisector, Inradius

Geometry Problem 789
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line.

Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations

Geometry Problem 787
Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations.

Right Triangle, Altitude, Hypotenuse, Cevian, Perpendicular, Ratio

Geometry Problem 786
Right Triangle, Altitude, Hypotenuse, Cevian, Perpendicular, Ratio, Metric relations.

Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square.

Geometry Problem 778
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square.

Right triangle, Incircles

Geometry Problem 668.
Right triangle, Incircles, Parallel, Common Tangent, Mind Map.

Right triangle, Altitude, Incenter, Area

Geometry Problem 634
Right Triangle, Altitude, Incenters, Areas.

Right triangle area

Geometry Problem 617
Right Triangle Area, Incircle, Incenter, Tangent, 90 Degrees.

Square with Right triangles

Geometry Problem 608
Square with Right Triangles, Metric Relations, Congruence, Measurement.

Online Math: Geometry Problem 572, Right triangle and Circle

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

Online education: Geometry Problem 570, Collinearity

Problem 570.
Square, Center, Right Triangles, Congruence, Collinearity.

Geometry problem 567

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

Right triangle, Square, Area

Problem 539.
Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras.

Right triangle, Square, Area

Problem 540.
Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras.

Lunes of Hippocrates 1
 

Lunes of Hippocrates 2
 

Lunes of Hippocrates 3
 

Lunes of Hippocrates 4
 

Right Triangle, Altitude, Median, Equal angles, Measure

Problem 544.
Right Triangle, Altitude, Median, Equal angles, Measure.

Right Triangle, Altitude, Angle Bisector, Median

Problem 543.
Right Triangle, Altitude, Angle Bisector, Median.

Right triangle, Altitude, Angle Bisectors, 90 Degrees

Problem 542.
Right Triangle, Altitude, Angle Bisector, Perpendicular, 90 Degrees.

Right triangle, Altitude, Angle Bisector

Problem 541.
Right Triangle, Altitude, Angle Bisector, Congruence.

Right triangle, square, area

Problem 534.
Right Triangle, Squares, Perpendicular, Dissection, Areas.

Geometry Problem: Right triangle, Circle, Tangent

Problem 522.
Right Triangle, Circle, Diameter, Tangent.

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