Question

In triangle $ABC$, $G$ is the centroid, $I$ is the incenter, $GI$ || $BC$. What is $\frac{AB+AC}{BC}$?

score 622 · Answer 1 · 2026-02-23 06:40:28

622

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In triangle $ABC$, $G$ is the centroid, $I$ is the incenter, $GI$ || $BC$. What is $\frac{AB+AC}{BC}$?

Published on 23 Feb 2026 - 6:40

score 611 · Answer 2 · 2020-02-02 21:38:53

611

Views

How do you solve a triangle given one angle and only a part of one side?

Published on 02 Feb 2020 - 21:38

score 98 · Answer 3 · 2026-04-02 06:45:08

98

Views

If points (0,0), (1,0), and (x,y) are the vertices of a right triangle, determine any equations that x and/or y must satisfy

Published on 02 Apr 2026 - 6:45

score 221 · Answer 4 · 2026-03-25 17:41:57

221

Views

If triangle $DEF$ is the orthic triangle of triangle $ABC$, the symmedian points of triangles $AEF$, $BFD$, $CDE$ lie on the medians of $ABC$

Published on 25 Mar 2026 - 17:41

score 444 · Answer 5 · 2026-03-25 06:06:34

444

Views

Point picking in a 1x1 square: probability of line segments connecting 2 random interior points to catacorner vertices intersecting in the square.

Published on 25 Mar 2026 - 6:06

score 65 · Answer 6 · 2020-02-03 16:52:12

65

Views

Is sum of expected triangle areas equal to expected area of triangle sums?

Published on 03 Feb 2020 - 16:52

score 57 · Answer 7 · 2020-02-04 13:54:43

57

Views

Integrating over triangle area

Published on 04 Feb 2020 - 13:54

score 906 · Answer 8 · 2020-02-04 23:35:44

906

Views

Incenter and circumcenter of triangle ABC collinear with orthocenter of MNP, tangency points of incircle

Published on 04 Feb 2020 - 23:35

score 559 · Answer 9 · 2020-02-05 09:55:15

559

Views

Find angle in triangle $ABC$ with cevian line $AD$, such that $AB=CD$.

Published on 05 Feb 2020 - 9:55

score 61 · Answer 10 · 2020-02-05 10:22:16

61

Views

Solution of $ 2cos\frac{\beta-\gamma}{2}=\frac{b+c}{\sqrt{b^2+c^2-bc}}$ in a triangle

Published on 05 Feb 2020 - 10:22

score 62 · Answer 11 · 2020-02-06 14:55:22

62

Views

Problem on isosceles triangle

Published on 06 Feb 2020 - 14:55

score 218 · Answer 12 · 2020-02-06 18:08:59

218

Views

Point inside a triangle is always closer to the side of a triangle rather than to vertices of the triangle

Published on 06 Feb 2020 - 18:08

score 645 · Answer 13 · 2020-02-07 13:58:11

645

Views

An angle inside a regular pentagon

Published on 07 Feb 2020 - 13:58

score 182 · Answer 14 · 2026-03-29 17:25:11

182

Views

Integer-sided triangles with equal perimeters and equal areas

Published on 29 Mar 2026 - 17:25

score 30 · Answer 15 · 2026-03-27 20:14:29

30

Views

Integral $\int_M \frac{20x^3}{1+y^5}d(x,y)$

Published on 27 Mar 2026 - 20:14

List Question

In triangle $ABC$, $G$ is the centroid, $I$ is the incenter, $GI$ || $BC$. What is $\frac{AB+AC}{BC}$?

How do you solve a triangle given one angle and only a part of one side?

If points (0,0), (1,0), and (x,y) are the vertices of a right triangle, determine any equations that x and/or y must satisfy

If triangle $DEF$ is the orthic triangle of triangle $ABC$, the symmedian points of triangles $AEF$, $BFD$, $CDE$ lie on the medians of $ABC$

Point picking in a 1x1 square: probability of line segments connecting 2 random interior points to catacorner vertices intersecting in the square.

Is sum of expected triangle areas equal to expected area of triangle sums?

Integrating over triangle area

Incenter and circumcenter of triangle ABC collinear with orthocenter of MNP, tangency points of incircle

Find angle in triangle $ABC$ with cevian line $AD$, such that $AB=CD$.

Solution of $ 2cos\frac{\beta-\gamma}{2}=\frac{b+c}{\sqrt{b^2+c^2-bc}}$ in a triangle

Problem on isosceles triangle

Point inside a triangle is always closer to the side of a triangle rather than to vertices of the triangle

An angle inside a regular pentagon

Integer-sided triangles with equal perimeters and equal areas

Integral $\int_M \frac{20x^3}{1+y^5}d(x,y)$

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