Question

Geometric problem about ratios of line segments: How to transform the limiting case method to a rigorous answer?

score 57 · Answer 1 · 2026-03-25 18:51:10

57

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Geometric problem about ratios of line segments: How to transform the limiting case method to a rigorous answer?

Published on 25 Mar 2026 - 18:51

score 105 · Answer 2 · 2026-03-22 12:07:10

105

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Is there a geometric proof of $\frac1r = \frac{1}{h_a} + \frac{1}{h_b} + \frac{1}{h_c}$ in a given triangle?

Published on 22 Mar 2026 - 12:07

score 56 · Answer 3 · 2019-04-13 13:42:45

An angle bisector of length $4$ units, creates a $6$ unit line segment on the base of the triangle. What are possible integer values of its side?

score 1.1k · Answer 4 · 2019-04-14 10:14:39

1.1k

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One angle in a triangle is twice the other, find the relationship among the sides

Published on 14 Apr 2019 - 10:14

score 111 · Answer 5 · 2026-03-26 07:59:03

111

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How can I find the sum of the angle $AMB$, angle $ANB$ and the angle $ACB$?

Published on 26 Mar 2026 - 7:59

score 119 · Answer 6 · 2019-04-16 08:34:41

119

Views

$n$ incongruent triangles with integer sides and perimeter $n$

Published on 16 Apr 2019 - 8:34

score 18 · Answer 7 · 2019-04-16 13:57:35

18

Views

Producing orientation (yaw)

Published on 16 Apr 2019 - 13:57

score 878 · Answer 8 · 2019-04-17 02:13:38

878

Views

Understanding Ceva's Theorem

Published on 17 Apr 2019 - 2:13

score 242 · Answer 9 · 2019-04-17 11:50:27

242

Views

Find $P$ in the plane of $\triangle ABC$ that minimizes $a\,AP^2+b\,BP^2+c\,CP^2$

Published on 17 Apr 2019 - 11:50

score 536 · Answer 10 · 2026-03-25 06:03:36

536

Views

Find the length x such that the two distances in the triangle are the same

Published on 25 Mar 2026 - 6:03

score 189 · Answer 11 · 2019-04-17 17:07:18

189

Views

Probability of obtuse triangles formed on a circle

Published on 17 Apr 2019 - 17:07

score 98 · Answer 12 · 2026-03-25 15:46:12

98

Views

Find a point on a circle which contains a rectangle using another point, the angle between the two and the rectangle's dimensions

Published on 25 Mar 2026 - 15:46

score 922 · Answer 13 · 2019-04-18 13:59:03

Corresponding angles of $\square ABCD$ and $\square PQRS$ are equal, $AB=PQ$, $CD=SR$, $AD\not\parallel BC$; prove the quadrilaterals congruent

score 198 · Answer 14 · 2019-04-19 04:01:21

198

Views

Straight lines and triangles

Published on 19 Apr 2019 - 4:01

score 56 · Answer 15 · 2019-04-19 13:23:50

56

Views

Geometry - Straight lines and triangles

Published on 19 Apr 2019 - 13:23

List Question

Geometric problem about ratios of line segments: How to transform the limiting case method to a rigorous answer?

Is there a geometric proof of $\frac1r = \frac{1}{h_a} + \frac{1}{h_b} + \frac{1}{h_c}$ in a given triangle?

An angle bisector of length $4$ units, creates a $6$ unit line segment on the base of the triangle. What are possible integer values of its side?

One angle in a triangle is twice the other, find the relationship among the sides

How can I find the sum of the angle $AMB$, angle $ANB$ and the angle $ACB$?

$n$ incongruent triangles with integer sides and perimeter $n$

Producing orientation (yaw)

Understanding Ceva's Theorem

Find $P$ in the plane of $\triangle ABC$ that minimizes $a\,AP^2+b\,BP^2+c\,CP^2$

Find the length x such that the two distances in the triangle are the same

Probability of obtuse triangles formed on a circle

Find a point on a circle which contains a rectangle using another point, the angle between the two and the rectangle's dimensions

Corresponding angles of $\square ABCD$ and $\square PQRS$ are equal, $AB=PQ$, $CD=SR$, $AD\not\parallel BC$; prove the quadrilaterals congruent

Straight lines and triangles

Geometry - Straight lines and triangles

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