Question

In $\triangle ABC$, $\angle ABC=105^\circ$, $AD=DC$ and $BC=2$. Find the length of $AB$

score 68 · Answer 1 · 2023-05-14 17:07:43

68

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In $\triangle ABC$, $\angle ABC=105^\circ$, $AD=DC$ and $BC=2$. Find the length of $AB$

Published on 14 May 2023 - 17:07

score 160 · Answer 2 · 2023-05-16 07:49:11

160

Views

Does every triangle satisfy $(a+b-c) \ge 8s\sum_{k=1}^{\infty}C_k \left(\frac{A}{s^2}\right)^{2k}$?

Published on 16 May 2023 - 7:49

score 29 · Answer 3 · 2023-05-16 07:51:00

29

Views

Uniform random triangles in the square.

Published on 16 May 2023 - 7:51

score 154 · Answer 4 · 2026-03-26 02:47:35

154

Views

The triangle ABC and AD is the bisector of the angle BAC. We know that the area of ABC = 3*area of ABD How many natural values can the BC take?

Published on 26 Mar 2026 - 2:47

score 134 · Answer 5 · 2023-05-17 12:18:50

134

Views

Conjecture: Explicit lower bounds for triangle inequalities

Published on 17 May 2023 - 12:18

score 330 · Answer 6 · 2026-03-29 08:16:10

330

Views

Let ABCD be a convex quadrilateral with AD = BC. Show that AD and BC determine congruent angles with the line passing the midpoints.

Published on 29 Mar 2026 - 8:16

score 97 · Answer 7 · 2026-04-09 07:51:22

97

Views

$8x-y=9$ intersects hyperbola, $\frac{x^2}{16}-\frac{y^2}{2023}=9$ in $A$ and $B$.The ⊥ of $AB$ intersects the axes at $C$ and $D$.Find area of $COD$.

Published on 09 Apr 2026 - 7:51

score 102 · Answer 8 · 2026-03-29 18:36:21

102

Views

Proving the right-angled triangle property of FDM with acute angles of $30^\circ$ and $60^\circ$

Published on 29 Mar 2026 - 18:36

score 288 · Answer 9 · 2026-04-09 02:25:28

288

Views

Triangle geometry problem without trigonometry

Published on 09 Apr 2026 - 2:25

score 126 · Answer 10 · 2023-05-20 14:35:23

126

Views

Finding the radius of the circumcircle when orthocentre, circumcentre and a side is given

Published on 20 May 2023 - 14:35

score 111 · Answer 11 · 2023-05-22 14:07:08

111

Views

Using angle bisector to prove a quadrilateral is concyclic.

Published on 22 May 2023 - 14:07

score 27 · Answer 12 · 2023-05-26 10:31:02

27

Views

How can I work out the formula for Wind Downwarde6b

Published on 26 May 2023 - 10:31

score 845 · Answer 13 · 2026-03-29 16:54:24

845

Views

Solve this trigonometry problem without using trigonometric functions.

Published on 29 Mar 2026 - 16:54

score 579 · Answer 14 · 2026-03-30 18:05:52

579

Views

I created a Sangaku-style geometry problem involving an equilateral triangle and three circles. Can you solve it without a computer?

Published on 30 Mar 2026 - 18:05

score 77 · Answer 15 · 2023-05-30 11:29:06

77

Views

finding angle between a chord and a tangent

Published on 30 May 2023 - 11:29

List Question

In $\triangle ABC$, $\angle ABC=105^\circ$, $AD=DC$ and $BC=2$. Find the length of $AB$

Does every triangle satisfy $(a+b-c) \ge 8s\sum_{k=1}^{\infty}C_k \left(\frac{A}{s^2}\right)^{2k}$?

Uniform random triangles in the square.

The triangle ABC and AD is the bisector of the angle BAC. We know that the area of ABC = 3*area of ABD How many natural values can the BC take?

Conjecture: Explicit lower bounds for triangle inequalities

Let ABCD be a convex quadrilateral with AD = BC. Show that AD and BC determine congruent angles with the line passing the midpoints.

$8x-y=9$ intersects hyperbola, $\frac{x^2}{16}-\frac{y^2}{2023}=9$ in $A$ and $B$.The ⊥ of $AB$ intersects the axes at $C$ and $D$.Find area of $COD$.

Proving the right-angled triangle property of FDM with acute angles of $30^\circ$ and $60^\circ$

Triangle geometry problem without trigonometry

Finding the radius of the circumcircle when orthocentre, circumcentre and a side is given

Using angle bisector to prove a quadrilateral is concyclic.

How can I work out the formula for Wind Downwarde6b

Solve this trigonometry problem without using trigonometric functions.

I created a Sangaku-style geometry problem involving an equilateral triangle and three circles. Can you solve it without a computer?

finding angle between a chord and a tangent

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