Question

Synthetic solution for proving that a quadrilateral constructed on the altitude of a triangle is a square.

score 83 · Answer 1 · 2023-02-27 23:48:40

83

Views

Synthetic solution for proving that a quadrilateral constructed on the altitude of a triangle is a square.

Published on 27 Feb 2023 - 23:48

score 213 · Answer 2 · 2026-04-01 16:30:13

213

Views

Draw a triangle in the region bounded by a polynomial curve and a straight line. What is the supremum of the ratio of their areas?

Published on 01 Apr 2026 - 16:30

score 191 · Answer 3 · 2026-04-05 19:10:36

191

Views

On the maximum perimeter of a triangle with the fixed distances from its vertices to a given point.

Published on 05 Apr 2026 - 19:10

score 57 · Answer 4 · 2026-03-26 14:34:45

57

Views

$S$ and $Q$ are situated in opposite regions with respect to $PR$ in $\triangle PQR$ ,What is the length of $QS$?

Published on 26 Mar 2026 - 14:34

score 34 · Answer 5 · 2023-03-03 03:03:20

34

Views

limit of the area of a circular segment to the area of the inscribed isosceles triangle as the arc angle tends to $0$.

Published on 03 Mar 2023 - 3:03

score 157 · Answer 6 · 2023-03-04 12:40:15

157

Views

Prove that the area of an inscribed hexagon is twice the area of a triangle

Published on 04 Mar 2023 - 12:40

score 45 · Answer 7 · 2023-03-07 07:22:20

45

Views

In a $\triangle PQR$, $\cos P + \cos Q + \cos R = 2 - \cos Q$, find $\frac{p + r}{q}$ where $p$, $q$, $r$ are side lengths

Published on 07 Mar 2023 - 7:22

score 342 · Answer 8 · 2023-03-09 09:33:37

342

Views

Prove side $c$ of a Triangle equals $\frac{0}{2}$

Published on 09 Mar 2023 - 9:33

score 35 · Answer 9 · 2023-03-09 11:54:04

35

Views

finding $\angle CB$ or e in a triangle made by four circles with just knowing radiuses of the circles

Published on 09 Mar 2023 - 11:54

score 32 · Answer 10 · 2023-03-09 21:37:09

32

Views

Help with Triangles and Geometric Statements

Published on 09 Mar 2023 - 21:37

score 93 · Answer 11 · 2023-03-10 13:55:26

93

Views

Find the smallest angle possible from the diagram

Published on 10 Mar 2023 - 13:55

score 101 · Answer 12 · 2026-03-26 01:09:36

101

Views

Prove that every Isosceles triangle with two equal sides third side is equal to $c = \pm(a+b)$

Published on 26 Mar 2026 - 1:09

score 119 · Answer 13 · 2026-03-26 16:26:31

119

Views

Find the number of points inside a rectangle if the rectangle is divided into $210$ triangles.

Published on 26 Mar 2026 - 16:26

score 64 · Answer 14 · 2023-03-13 10:34:32

64

Views

If p is any interior point of a triangle

Published on 13 Mar 2023 - 10:34

score 110 · Answer 15 · 2026-04-03 17:58:55

110

Views

How to express the area of a right triangle in terms of altitude and bisector of its right angle?

Published on 03 Apr 2026 - 17:58

List Question

Synthetic solution for proving that a quadrilateral constructed on the altitude of a triangle is a square.

Draw a triangle in the region bounded by a polynomial curve and a straight line. What is the supremum of the ratio of their areas?

On the maximum perimeter of a triangle with the fixed distances from its vertices to a given point.

$S$ and $Q$ are situated in opposite regions with respect to $PR$ in $\triangle PQR$ ,What is the length of $QS$?

limit of the area of a circular segment to the area of the inscribed isosceles triangle as the arc angle tends to $0$.

Prove that the area of an inscribed hexagon is twice the area of a triangle

In a $\triangle PQR$, $\cos P + \cos Q + \cos R = 2 - \cos Q$, find $\frac{p + r}{q}$ where $p$, $q$, $r$ are side lengths

Prove side $c$ of a Triangle equals $\frac{0}{2}$

finding $\angle CB$ or e in a triangle made by four circles with just knowing radiuses of the circles

Help with Triangles and Geometric Statements

Find the smallest angle possible from the diagram

Prove that every Isosceles triangle with two equal sides third side is equal to $c = \pm(a+b)$

Find the number of points inside a rectangle if the rectangle is divided into $210$ triangles.

If p is any interior point of a triangle

How to express the area of a right triangle in terms of altitude and bisector of its right angle?

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