Question

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

score 69 · Answer 1 · 2026-04-10 19:24:19

69

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

Published on 10 Apr 2026 - 19:24

score 167 · Answer 2 · 2023-07-07 15:49:45

167

Views

Given a Square $ABCD$, find triangle Area $x$ if the area of the orange triangle is $24$

Published on 07 Jul 2023 - 15:49

score 82 · Answer 3 · 2023-07-11 13:17:03

82

Views

Prove by induction: Equilateral triangle is cut in 4n congruent equilateral smaller triangles

Published on 11 Jul 2023 - 13:17

score 216 · Answer 4 · 2023-07-11 18:55:34

216

Views

In $\triangle ABC$, prove: $\frac{\sin^2 \frac A2}{\sin B \sin C}+\frac{\sin^2 \frac B2}{\sin A\sin C}+\frac{\sin^2 \frac C2}{\sin A\sin B} \ge 1$

Published on 11 Jul 2023 - 18:55

score 72 · Answer 5 · 2023-07-12 00:28:31

72

Views

Proving $DF = EF$ without trigonometry

Published on 12 Jul 2023 - 0:28

score 111 · Answer 6 · 2026-02-23 17:03:14

111

Views

Prove that the radius of the incircle of one triangle has two times the radius of the incircle of another triangle with Euclidean geometry.

Published on 23 Feb 2026 - 17:03

score 106 · Answer 7 · 2026-03-27 13:27:31

106

Views

Area of a triangle on a torus

Published on 27 Mar 2026 - 13:27

score 87 · Answer 8 · 2026-04-01 04:24:53

87

Views

If $\triangle {ABC} \sim \triangle {DEF}$, must $\angle {C} = \angle {F}$, or can any angle of $\triangle {DEF}$ be $\angle C$?

Published on 01 Apr 2026 - 4:24

score 115 · Answer 9 · 2026-04-08 14:12:18

115

Views

Calculation of Areas of Leaf-like Segments in an Equilateral Triangle

Published on 08 Apr 2026 - 14:12

score 86 · Answer 10 · 2026-04-09 01:03:53

86

Views

Need help in solve a geometry question based on triangle.

Published on 09 Apr 2026 - 1:03

score 571 · Answer 11 · 2026-04-09 13:26:49

571

Views

Distances of Fermat point from vertices of a triangle

Published on 09 Apr 2026 - 13:26

score 62 · Answer 12 · 2026-03-25 07:45:55

62

Views

ABCD is a parallelogram, and AXY is a straight line through A meeting BC at X and DC at Y. Prove that BX.DY is constant.

Published on 25 Mar 2026 - 7:45

score 424 · Answer 13 · 2026-04-10 18:21:25

424

Views

Shortest distance from point to a curve and Estimation of error of an incorrect approach

Published on 10 Apr 2026 - 18:21

score 65 · Answer 14 · 2023-07-17 20:03:02

65

Views

Given $\triangle ABC$, with $AB<BC$, and angle bisector $BK$, which length is larger: $AK$ or $KC$? Seeking alternate proof.

Published on 17 Jul 2023 - 20:03

score 151 · Answer 15 · 2026-04-11 02:39:18

151

Views

Equation of a triangle. Equation of a quadrilateral. Book reference

Published on 11 Apr 2026 - 2:39

List Question

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

Given a Square $ABCD$, find triangle Area $x$ if the area of the orange triangle is $24$

Prove by induction: Equilateral triangle is cut in 4n congruent equilateral smaller triangles

In $\triangle ABC$, prove: $\frac{\sin^2 \frac A2}{\sin B \sin C}+\frac{\sin^2 \frac B2}{\sin A\sin C}+\frac{\sin^2 \frac C2}{\sin A\sin B} \ge 1$

Proving $DF = EF$ without trigonometry

Prove that the radius of the incircle of one triangle has two times the radius of the incircle of another triangle with Euclidean geometry.

Area of a triangle on a torus

If $\triangle {ABC} \sim \triangle {DEF}$, must $\angle {C} = \angle {F}$, or can any angle of $\triangle {DEF}$ be $\angle C$?

Calculation of Areas of Leaf-like Segments in an Equilateral Triangle

Need help in solve a geometry question based on triangle.

Distances of Fermat point from vertices of a triangle

ABCD is a parallelogram, and AXY is a straight line through A meeting BC at X and DC at Y. Prove that BX.DY is constant.

Shortest distance from point to a curve and Estimation of error of an incorrect approach

Given $\triangle ABC$, with $AB<BC$, and angle bisector $BK$, which length is larger: $AK$ or $KC$? Seeking alternate proof.

Equation of a triangle. Equation of a quadrilateral. Book reference

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