List questions from euclidean-geometry

Published on 22 Mar 2026 - 13:57

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Is the Incenter always "below" the middle point of an angle bisector segment in a triangle?

Published on 20 Mar 2026 - 3:07

2k

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$\triangle ABC$ has $AC=BC$, and $\angle ACB=96^\circ$. $D$ is a point such that $\angle DAB=18^\circ, \angle DBA=30^\circ$. What is $\angle ACD$?

Published on 25 Mar 2026 - 1:17

142

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A compass moving on two straight lines

Published on 17 Mar 2026 - 4:28

278

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Drawing points and straight lines in the plane

Published on 17 Mar 2026 - 2:49

137

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Circle geometry with tangent line

Published on 22 Mar 2026 - 2:46

53

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Averages of side and averages of angles in a triangle

Published on 19 Mar 2026 - 13:44

82

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Can you generalize the Triangle group to other polygons?

Published on 22 Mar 2026 - 1:23

159

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Geometric inequality : In a equilateral , $ 4(PD^2 +PE^2 + PF^2) \ge PA^2 + PB^2 + PC^2 $

Published on 20 Mar 2026 - 8:28

169

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Geometry Problem: Find the area of $ABCD$ square

Published on 17 Mar 2026 - 7:58

49

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Geometric Proof for Quadrilateral

Published on 25 Mar 2026 - 4:18

69

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Unit-length 2D curve segment with maximal width along all directions

Published on 24 Mar 2026 - 13:42

62

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Given the triangle $ABC$...Prove that the $ME$ line always goes through a fixed point when $M$ moves.

Published on 25 Mar 2026 - 14:22

552

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Ratio of volumes of $n$-dimensional unit balls

Published on 24 Mar 2026 - 22:08

663

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Parallelogram and similar triangles question

Published on 24 Mar 2026 - 23:54

List Question

2018 January Challenge: Prove inequality in geometry problem

Is the Incenter always "below" the middle point of an angle bisector segment in a triangle?

$\triangle ABC$ has $AC=BC$, and $\angle ACB=96^\circ$. $D$ is a point such that $\angle DAB=18^\circ, \angle DBA=30^\circ$. What is $\angle ACD$?

A compass moving on two straight lines

Drawing points and straight lines in the plane

Circle geometry with tangent line

Averages of side and averages of angles in a triangle

Can you generalize the Triangle group to other polygons?

Geometric inequality : In a equilateral , $ 4(PD^2 +PE^2 + PF^2) \ge PA^2 + PB^2 + PC^2 $

Geometry Problem: Find the area of $ABCD$ square

Geometric Proof for Quadrilateral

Unit-length 2D curve segment with maximal width along all directions

Given the triangle $ABC$...Prove that the $ME$ line always goes through a fixed point when $M$ moves.

Ratio of volumes of $n$-dimensional unit balls

Parallelogram and similar triangles question

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