Pythagoras and Right Triangles and Problems

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Pythagoras and Right Triangles Theorems and Problems Index

Metric Relations in a Right Triangle

Metric Relations in a Right Triangle, Theorems and Problems.

Pythagoras Related Searches

Pythagoras and Related Search Term Suggestions, Interactive Mind Map.

Right Triangles, Formulas and Facts
Pythagorean theorem, Similarity, Geometric mean, hypotenuse, cathetus, semiperimeter, altitude, median, similar shapes areas, centers, orthocenter, incenter, centroid, circumcenter, radius, inradius, circumradius, exradius, circles, incircle, circumcircle, excircle.

Pythagoras_extension

The General Extension to Pythagoras' Theorem.

Pythagoras curiosity. Online tutoring.

The Pythagorean Curiosity Triangles and squares, fifteen conclusions.

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.

Pythagoras Theorem, 47th Proposition of Euclid's Book I

The significance of the Pythagorean theorem by Jacob Bronowski.
Pythagorean Theorem, 47th Proposition of Euclid's Book I.

Mind Map of the Pythagorean Theorem
Proofs by shears, translation, similarity. Facts.
 

Einstein and Pythagoras theorem proof
 

Pythagoras and Circle Area
 

Hippocrates and Squaring the Circle
 

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.

Classical Theorems

Classical Theorems.

Tangent Circles, Chords, Perpendiculars

Proposed Problem 437.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement.

Tangent Circles, Chords, Perpendiculars

Proposed Problem 436.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement.

Inscribed and Circumscribed regular Pentagon, Areas

Proposed Problem 430.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Areas.

Regular pentagon

Proposed Problem 429.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Measurement.
Pythagoras

Right triangle, Congruence, Angles

Proposed Problem 363.
Right triangle, Congruence, Angles.

Elearning 317 Right triangle

Proposed Problem 317.
Right triangle and Inscribed Squares.

Triangle and angle bisector of 90 degrees

Proposed Problem 303.
Triangle, Angle bisector of 90 degrees.

Right Triangle Circumcenter, Excenter

Proposed Problem 294.
Right triangle, Circumcenter, Excenter, Hypotenuse, Perpendicular.

Sagitta Problem

Proposed Problem 275.
Right Triangle, Circumcircle, Sagitta, Inradius.

Square, Midpoint, Congruence, Pythagoras

Proposed Problem 239. Square, Midpoints, Lines, Congruence, Pythagoras.

Right triangle, inradius, altitude, arithmetic mean

Proposed Problem 220. Right Triangle, Altitude, Angle Bisector, Distance, Arithmetic Mean.

Problem 207: Hypotenuse

Proposed Problem 207. Right Triangle, Hypotenuse, Inradius, Exradius relative to the hypotenuse.

Elearn 206

Proposed Problem 206. Area of a Right Triangle, Inradius, and Exradius relative to the hypotenuse.

Right triangle area

Proposed Problem 205. Right Triangle Area, Exradii relatives to legs or catheti.

Elearn 204

Proposed Problem 204. Right Triangle, Incircle, Excircles, Inradius, Exradii.

Problem 203

Proposed Problem 203. Right Triangle, Excircles, Exradii, Hypotenuse.

Problem 202 Right triangle, excircles

Proposed Problem 202. Right Triangle, Incirle, Excircles relatives to catheti, Points of Tangency, Exradius, Semiperimeter.

Elearn 201

Proposed Problem 201. Right Triangle, Excircles, Points of Tangency, Exradius, Semiperimeter.

Elearning 200: Right Triangle

Proposed Problem 200. RightTriangle, Incircle, Excircles, Points of Tangency, Inradius.

Elearning 187: Right triangle, incircles, angles

Proposed Problem 187. Right Triangle, Altitude, Incenters, Circles, Angles.

Elearning 186: Right triangle, circles

Proposed Problem 186. Right Triangle, Altitude, Incenters, Circles.

Right triangle, Hypotenuse trisection

Proposed Problem 183. Right Triangle, Hypotenuse Trisection Points, Squares of the Distances.

Problem 102. Elearning, Online Tutoring

Proposed Problem 102.Equilateral Triangle Area, Interior Point.

Elearning, Online Tutoring 101

Proposed Problem 101.Equilateral Triangle, Pythagorean Theorem, Angles.

Circle area and Pythagoras

Proposed Problem 99: Circle Area, General Extension to Pythagoras' Theorem.

Proposed Problem 76: Area of a Circle. Square, Circle, Circular Sector. 

Elearn 218: Right triangle

Proposed Problem 218. Right triangle, Altitude and Projections.

Elearn 217: Right triangle, Altitude, Projections

Proposed Problem 217. Right triangle, Altitude and Projections.

Proposed Problem 49. Angles and right triangle.

Sangaku Problem 41. "Mickey Mouse" shape: Three circles representing head and ears.

Triangle and Squares 19  

Proposed Problem 38.
Right Triangle, altitude, incircles, incenters, and angles.

Proposed Problem 37.
Right Triangle, altitude, incircles, incenters, and orthocenter.

Problem 36.
Right Triangle, altitude, incircles and inradii.

Proposed Problem 34.
Right triangle, cevian, incircles, tangents and inradius.

Archimedes' Book of Lemmas
 

Euler and his beautiful and extraordinary formula

Problem 31. Right Triangle, Incircle, Collinears.
Problem 30. Right Triangle, Incircle, Inradius.

Proposed Problem 29.
Right Triangle, altitude, incircle and inradius. Ten conclusions.

Problem 29: Geometry Help.
Facts you should know.

Proposed Problem 28
Right Triangle, altitude, incircles and inradius.

Proposed Problem 27
Right Triangle, incircles and inradius.

Proposed Problem 26
Right Triangle, altitude, incircles and inradius.

Proposed Problem 25
Right Triangle, altitude, incircles and inradius.

Proposed Problem 24
Right Triangle, altitude, incircles and inradii.

Proposed Problem 23
Right Triangle, altitude, incircles and inradii.

Proposed Problem 22
Right Triangle, altitudes, incircles and inradii.

Proposed problem 20
Right Triangle, incircles and inradii.

Proposed problem 19
Right Triangle and Excenter

Poncelet Theorem

Sangaku Problem 3

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