Question

Can I infer the hypotenuse given only $a > b$?

score 59 · Answer 1 · 2023-03-21 23:40:30

59

Views

Can I infer the hypotenuse given only $a > b$?

Published on 21 Mar 2023 - 23:40

score 164 · Answer 2 · 2023-04-05 00:26:15

164

Views

What is the area of the shaded region if $AB=120$?

Published on 05 Apr 2023 - 0:26

score 264 · Answer 3 · 2023-04-13 02:19:55

264

Views

If $x^2+px-q=0$ and $x^2+px+q=0$ have integer roots for real $p$ and $q$, then $p^2=a^2+b^2$ for some integers $a$ and $b$

Published on 13 Apr 2023 - 2:19

score 87 · Answer 4 · 2023-04-27 15:04:03

87

Views

Is the set of “Pythagorean” square roots dense in $\left[0, \infty\right)$?

Published on 27 Apr 2023 - 15:04

score 106 · Answer 5 · 2023-05-03 19:59:21

106

Views

Rotation matrix and Pythagorean theorem relation

Published on 03 May 2023 - 19:59

score 53 · Answer 6 · 2023-05-19 12:40:14

53

Views

Fairly simple problem: three integers, sums, and Pythagorean triples

Published on 19 May 2023 - 12:40

score 30 · Answer 7 · 2023-05-31 18:51:24

30

Views

Constant Hiding Behind Particular Pythagorean Triples

Published on 31 May 2023 - 18:51

score 95 · Answer 8 · 2023-07-03 17:04:26

95

Views

pythagorean triple factorization

Published on 03 Jul 2023 - 17:04

score 50 · Answer 9 · 2023-07-04 16:27:18

50

Views

Radii of touching spheres centered on Pythagorean triple vertices.

Published on 04 Jul 2023 - 16:27

score 37 · Answer 10 · 2023-07-05 18:55:33

37

Views

Results about generalised Pythagorean triples

Published on 05 Jul 2023 - 18:55

score 67 · Answer 11 · 2023-07-07 14:23:29

67

Views

Can we find other triangles with different integer sides which have equal integer area and perimeter using this method?

Published on 07 Jul 2023 - 14:23

score 64 · Answer 12 · 2023-08-11 22:21:33

64

Views

New Pythagorean triples from old: a geometric proof?

Published on 11 Aug 2023 - 22:21

score 66 · Answer 13 · 2026-02-23 08:27:02

66

Views

If $a,b,c$ are nonzero natural numbers that verify the relation $a^2+b^2=c^2$, show that $a^n+b^n<c^n$.

Published on 23 Feb 2026 - 8:27

score 42 · Answer 14 · 2023-08-21 07:16:37

42

Views

Show that every primitive Pythagorean triple is of the form $(2 \lambda \mu, \lambda ^ 2 - \mu ^ 2, \lambda ^ 2 + \mu ^ 2)$

Published on 21 Aug 2023 - 7:16

score 51 · Answer 15 · 2023-09-09 14:31:49

51

Views

Vertex circle radii of Pythagorean triples

Published on 09 Sep 2023 - 14:31

List Question

Can I infer the hypotenuse given only $a > b$?

What is the area of the shaded region if $AB=120$?

If $x^2+px-q=0$ and $x^2+px+q=0$ have integer roots for real $p$ and $q$, then $p^2=a^2+b^2$ for some integers $a$ and $b$

Is the set of “Pythagorean” square roots dense in $\left[0, \infty\right)$?

Rotation matrix and Pythagorean theorem relation

Fairly simple problem: three integers, sums, and Pythagorean triples

Constant Hiding Behind Particular Pythagorean Triples

pythagorean triple factorization

Radii of touching spheres centered on Pythagorean triple vertices.

Results about generalised Pythagorean triples

Can we find other triangles with different integer sides which have equal integer area and perimeter using this method?

New Pythagorean triples from old: a geometric proof?

If $a,b,c$ are nonzero natural numbers that verify the relation $a^2+b^2=c^2$, show that $a^n+b^n<c^n$.

Show that every primitive Pythagorean triple is of the form $(2 \lambda \mu, \lambda ^ 2 - \mu ^ 2, \lambda ^ 2 + \mu ^ 2)$

Vertex circle radii of Pythagorean triples

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