Question

In acute $\triangle ABC$, $D$ is midpoint of $BC$, $DE \perp AB$, $DF \perp AC$, and $CE = BF$. Prove "geometrically" that $AB = AC$.

score 118 · Answer 1 · 2020-11-25 01:08:07

118

Views

In acute $\triangle ABC$, $D$ is midpoint of $BC$, $DE \perp AB$, $DF \perp AC$, and $CE = BF$. Prove "geometrically" that $AB = AC$.

Published on 25 Nov 2020 - 1:08

score 114 · Answer 2 · 2020-11-26 14:58:54

114

Views

Converse of Napoleon's Theorem

Published on 26 Nov 2020 - 14:58

score 456 · Answer 3 · 2020-11-28 16:02:57

456

Views

How to prove that the points $E, F, G$ are collinear

Published on 28 Nov 2020 - 16:02

score 4k · Answer 4 · 2020-11-29 10:02:53

4k

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Published on 29 Nov 2020 - 10:02

score 52 · Answer 5 · 2020-11-29 14:21:32

52

Views

Geometry problem about area of triangle.

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score 120 · Answer 6 · 2026-03-30 17:08:59

120

Views

Number of ways to divide 2n points into equal halves with a single line

Published on 30 Mar 2026 - 17:08

score 49 · Answer 7 · 2026-03-28 13:28:03

49

Views

Bounding a curve in a pencil of circles

Published on 28 Mar 2026 - 13:28

score 77 · Answer 8 · 2020-12-05 04:25:15

77

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Published on 05 Dec 2020 - 4:25

score 355 · Answer 9 · 2020-12-06 20:20:20

355

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Projecting a grid on a 2d plane

Published on 06 Dec 2020 - 20:20

score 54 · Answer 10 · 2020-12-08 21:22:41

54

Views

How do I find the equations of the planes containing the faces of this tetrahedron?

Published on 08 Dec 2020 - 21:22

score 41 · Answer 11 · 2020-12-12 02:15:42

41

Views

inside equilateral triangle $ABC$, $BD=CE$, $AE \cap CD = F$. Find maximum area of $BDFE$

Published on 12 Dec 2020 - 2:15

score 724 · Answer 12 · 2020-12-12 12:54:35

724

Views

Figuring out shape of four points scattered in a plane(Quadrilateral)

Published on 12 Dec 2020 - 12:54

score 356 · Answer 13 · 2020-12-12 15:01:32

356

Views

Prove the circumscribed circle passes through a fixed point

Published on 12 Dec 2020 - 15:01

score 161 · Answer 14 · 2020-12-13 10:24:33

161

Views

How to prove that $DK=DL$

Published on 13 Dec 2020 - 10:24

score 1.3k · Answer 15 · 2020-12-14 17:16:22

1.3k

Views

Find the point on the graph of $y=x^2$ that is closest to the point $(0, 3)$

Published on 14 Dec 2020 - 17:16

List Question

In acute $\triangle ABC$, $D$ is midpoint of $BC$, $DE \perp AB$, $DF \perp AC$, and $CE = BF$. Prove "geometrically" that $AB = AC$.

Converse of Napoleon's Theorem

How to prove that the points $E, F, G$ are collinear

How to find the $b$ of a hyperbola equation?

Geometry problem about area of triangle.

Number of ways to divide 2n points into equal halves with a single line

Bounding a curve in a pencil of circles

Most compact representation of a plane

Projecting a grid on a 2d plane

How do I find the equations of the planes containing the faces of this tetrahedron?

inside equilateral triangle $ABC$, $BD=CE$, $AE \cap CD = F$. Find maximum area of $BDFE$

Figuring out shape of four points scattered in a plane(Quadrilateral)

Prove the circumscribed circle passes through a fixed point

How to prove that $DK=DL$

Find the point on the graph of $y=x^2$ that is closest to the point $(0, 3)$

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