Welcome to Pythagoras and Right Triangles Theorems and Problems.

Recent Additions




31. 

Einstein and
Pythagoras theorem proof

30. 

Hippocrates and
Squaring the Circle

29. 

Lunes of
Hippocrates 4

28. 

Lunes of
Hippocrates 3

27. 

Lunes of
Hippocrates 2

26. 

Lunes of
Hippocrates 1

25. 

Pythagoras
and Circle Area

24. 

Right
Triangles, Formulas and Facts
Pythagorean theorem, Similarity, Geometric mean,
hypotenuse, legs, semiperimeter, altitude, median,
similar shapes areas, centers, orthocenter, incenter,
centroid, circumcenter, radius, inradius, circumradius,
exradius, circles, incircle, circumcircle, excircle. 
23. 

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

22. 

Proposed Problem 49.
Angles and right triangle.

21. 

Sangaku Problem 41.
"Mickey Mouse" shape: Three circles representing head and ears. 
20. 

Triangle and Squares
19

19. 

Proposed
Problem 38.
Right Triangle, altitude, incircles, incenters, and angles. 
18. 

Proposed
Problem 37.
Right Triangle, altitude, incircles, incenters, and orthocenter.
Problem 36.
Right Triangle, altitude, incircles and inradii. 
17. 

Proposed Problem
34.
Right triangle, cevian, incircles, tangents and inradius. 
16. 

Archimedes'
Book of Lemmas

15. 

Euler and his
beautiful and extraordinary formula 
14. 

Problem
31. Right Triangle, Incircle, Collinears.
Problem
30. Right Triangle, Incircle, Inradius. 
13. 

Proposed Problem 29.
Right Triangle, altitude, incircle and inradius. Ten conclusions. 
12. 

Problem 29:
Geometry Help.
Facts you should know. 
11. 

Proposed Problem 28
Right Triangle, altitude, incircles and
inradius. 
10. 

Proposed Problem 27
Right Triangle, incircles and inradius. 
9. 

Proposed Problem 26
Right Triangle, altitude, incircles and
inradius. 
8. 

Proposed Problem 25
Right Triangle, altitude, incircles and
inradius. 
7. 

Proposed Problem 24
Right Triangle, altitude, incircles and
inradii. 
6. 

Proposed Problem 23
Right Triangle, altitude, incircles and
inradii. 
5. 

Proposed Problem 22
Right Triangle, altitudes, incircles and
inradii. 
4. 

Proposed problem 20
Right Triangle, incircles and inradii. 
3. 

Proposed problem 19
Right Triangle and Excenter 
2. 

Poncelet Theorem 
1. 

Sangaku Problem 3 
Geometry: Right Triangles  Topics

Pythagorean
theorem, Geometric mean, Product of the legs, altitude,
Projection

Special
Right Triangles

Centers,
Inradius, Circumradius, Incenter, Circumcenter, Orthocenter,
Centroid, Poncelet, Sagitta

Inradius, Exradii, Semiperimeter, Area

Orthogonal Projections

Altitude, Inradii, Incenter, Areas

Pythagorean Theorem: Diagonal of a Box

Distance in Cartesian Coordinate

De Gua's Theorem

Einstein and Pythagoras
theorem proof

Squaring the circle?
Lunes 1, 2,
3,
4,
5

Mind Map of the
Pythagorean Theorem

Problems: 19,
20,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
34,
36,
37,
38,
41,
49




