Geometry Problems, Online Education

Geometry: Triangle and Squares, Theorems and Problems

Triangles and Squares 

 

iPad Geoboard: Pythagorean Theorem proof by Leonardo 

Geoboard for iPad Pythagorean Theorem Proof by Leonardo.

Problem 1447

Dynamic Geometry Problem 1447.
Outer Vecten Point. Step-by-step illustration using GeoGebra.

Geometry problem 1282

Geometry Problem 1282.
Three Squares, Common Vertex, Midpoint, Perpendicular, 90 Degrees.

Geometry problem 1200

Geometry Problem 1200
Square, Right Triangle, Perpendicular, 90 Degrees, Equal Areas.

Geometry problem 1199

Geometry Problem 1199
Equilateral Triangle, Square, Altitude, Circle, Incircle, Inradius, Metric Relations.

Geometry problem 1198

Geometry Problem 1198
Right Triangle, Square, Rectangle, Quadrilateral, Altitude, Equal Areas.

Geometry problem 1197

Geometry Problem 1197
Four Squares, Four Triangles, Equal Areas.

Geometry problem 1186

Geometry Problem 1186
Right Triangle, Square, Inscribed Circle, Tangent, Quadrilateral, Area.

Geometry problem 1184

Geometry Problem 1184
Right Triangle, Square, Inscribed Circle, Tangent, Concurrent Lines.

Geometry problem 1160

Geometry Problem 1160.
Triangle, Three Squares, Area, Equivalent Triangles.

Geometry problem 1124

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

Geometry Problem 1111

Geometry Problem 1111.
Right Triangle, External Squares, Cathetus, Angle Bisector, Area, Geometric Mean.

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, Congruence, Harmonic Mean.

Geometry Problem 1004

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

Geometry Problem 902

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

Square with Right triangles

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

iPad Geoboard: Pythagorean Theorem proof 

Geoboard for iPad Pythagorean Theorem Proof, Squares (Problem 540).

Right triangle, Square, Area

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

Right triangle, Square, Area

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

Right triangle, square, area

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

Triangle, Three Squares, Altitude, Area

Problem 521.
Triangle with three Squares, Altitude, Rectangle, Area.

Triangle with six Squares

Problem 520.
Triangle with six Squares, Ratio, Area.

Triangle with Squares and Rectangles

Problem 519.
Triangle, Squares, Altitude, Perpendicular, Rectangle, Area.

Geometry problem 518

Problem 518.
Parallelogram, Five Squares, Centers, 45 Degrees, Measure.

Right triangle with six squares

Problem 517.
Right Triangle, Six Squares, Areas.

Triangle with five squares

Problem 514.
Triangle, Five Squares, Line, Area.

Triangle with squares problem

Problem 512.
Triangle with three squares and concurrency.

Triangle with three squares

Problem 510.
Triangle, Three Squares, Midpoints, Concurrency.

Triangle with three squares

Problem 508.
Triangle with three Squares, Four triangle of equal Area.

Triangle with Three Squares, Center, Midpoint

Problem 506.
Triangle with Three Squares, Center, Midpoint, Perpendicular.

Triangle with Three Squares

Problem 503.
Triangle with Three Squares, Perpendicular, Congruence, Concurrency.

Triangle, Two Squares, Midpoint, Perpendicular, Half the measure

Problem 502.
Triangle, Two Squares, Midpoint, Perpendicular, Half the measure.

Triangle, Two Squares, Center, Midpoint

Problem 501.
Triangle, Two Squares, Center, Midpoint, another Square.

Triangle, Two Squares, Perpendicular

Problem 499.
Triangle, Two Squares, Perpendicular.

Triangle, Two Squares, Centers, Midpoint, 90 Degrees

Problem 497.
Triangle, Two Squares, Centers, Midpoint, 90 Degrees.

Triangle with Squares, 90 degrees

Problem 496.
Triangle, Two Squares, 90 Degrees, Concurrency, Angle Bisectors.

Elearn 491: Square, Incircles, Radius, Side

Problem 491.
Square, Right Triangle, Incircle, Inscribed Circle, Radius.

Square, Circles, Tangent

Problem 485.
Square, Side, Circles, Tangent, Radius, Measurement.

Square, Angle, 90 degrees, Proportion

Problem 484.
Square, Angle, 90 degrees, Triangle, Measurement, Proportion.

Triangle, Square, 90 degrees

Problem 483.
Square, Angle, 90 degrees, Measurement.

Right triangle, Squares

Proposed Problem 459.
Right triangle, Squares, Distance, Measurement.

Square, Circle, Tangent

Proposed Problem 458.
Square, Semicircle, Circular Sector, Internal Common Tangent, Measurement.

Triangle with squares, Circumcircles

Proposed Problem 370.
Triangle with squares, Circumcircles, Tangent circles.

Square, 45 degrees

Proposed Problem 367.
Square, Angle, 45 degrees, Pythagoras, Congruence, Similarity.

Square, Exterior point, Triangle, Area

Proposed Problem 357.
Square, Exterior point, Triangles, Area.

Square, Triangle, Area

Proposed Problem 356.
Square, Point inside, Triangles, Area.

Rhombus, Square 

Proposed Problem 354.
Rhombus, Square, 45 degrees.

Tangent circles, Square

Proposed Problem 336.
Two equal circles, a Common Tangent and a Square.

Elearning 331 Square, Inscribed Circle

Proposed Problem 331.
Square, Point on the Inscribed Circle, Tangency Points.

Area of a triangle

Proposed Problem 322.
Square, Inscribed circle, Tangent, Triangle area.

Elearning 317 Right triangle

Proposed Problem 317.
Right triangle and Inscribed Squares.

Circular Segments, Inscribed Squares

Proposed Problem 316.
Circular segments and Inscribed Squares.

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Last updated: Nov 17, 2019