Question

Volume of an Irregular Octahedron from edge lengths?

score 1.4k · Answer 1 · 2026-04-13 03:21:33

1.4k

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Volume of an Irregular Octahedron from edge lengths?

Published on 13 Apr 2026 - 3:21

score 642 · Answer 2 · 2026-04-14 19:58:01

642

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A line segment with a length of 24 makes a 90-degree angle with one of the legs of an isosceles trapezoid. What is the area of this Trapezoid?

Published on 14 Apr 2026 - 19:58

score 84 · Answer 3 · 2026-04-14 08:55:34

84

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BdMO - 2018 Regional - Geometry 9

Published on 14 Apr 2026 - 8:55

score 682 · Answer 4 · 2026-04-13 06:10:21

682

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Does the equality of the sum of opposite sides in a quadrilateral necessarily imply the existence of an inscribed circle?

Published on 13 Apr 2026 - 6:10

score 608 · Answer 5 · 2026-04-16 13:25:18

608

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Construct a quadrilateral, not a parallelogram, in which pair of opposite angles and a pair of opposite sides are equal.

Published on 16 Apr 2026 - 13:25

score 130 · Answer 6 · 2026-04-14 15:21:48

130

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Find area of quadrilateral in triangle.

Published on 14 Apr 2026 - 15:21

score 87 · Answer 7 · 2026-04-12 01:03:22

87

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Show that if $AR$ intersects midperpendicular of $MN$ at $X$, then $X\in(I)$

Published on 12 Apr 2026 - 1:03

score 484 · Answer 8 · 2026-04-16 10:08:54

484

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Where does this property involving quadrilaterals come from?

Published on 16 Apr 2026 - 10:08

score 158 · Answer 9 · 2026-04-13 23:49:26

158

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How to calculate the co-ordinates of a quadrilateral knowing the side lengths

Published on 13 Apr 2026 - 23:49

score 144 · Answer 10 · 2026-04-14 12:55:05

144

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A Quadrilateral (The National Mathematical Olympiad in Bulgaria)

Published on 14 Apr 2026 - 12:55

score 610 · Answer 11 · 2026-04-14 11:16:52

610

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Let $ABCD$ be a cyclic convex quadrilateral such that $AD + BC = AB$. Prove that the bisectors of the angles $ADC$ and $BCD$ meet on the line $AB$.

Published on 14 Apr 2026 - 11:16

score 242 · Answer 12 · 2026-04-30 10:55:32

242

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Parallel lines & squares

Published on 30 Apr 2026 - 10:55

score 385 · Answer 13 · 2026-04-15 01:29:31

385

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Prove a figure is a cyclic quadrilateral

Published on 15 Apr 2026 - 1:29

score 262 · Answer 14 · 2026-04-15 16:13:30

262

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4-gon with two opposite sides congruent and two opposite angles congruent: necessarily a parallelogram?

Published on 15 Apr 2026 - 16:13

score 140 · Answer 15 · 2026-04-14 19:57:59

140

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A line segment joins the middle points of each diagonal of a quadrilateral with known sides. What is sum of the squares of the diagonals?

Published on 14 Apr 2026 - 19:57

List Question

Volume of an Irregular Octahedron from edge lengths?

A line segment with a length of 24 makes a 90-degree angle with one of the legs of an isosceles trapezoid. What is the area of this Trapezoid?

BdMO - 2018 Regional - Geometry 9

Does the equality of the sum of opposite sides in a quadrilateral necessarily imply the existence of an inscribed circle?

Construct a quadrilateral, not a parallelogram, in which pair of opposite angles and a pair of opposite sides are equal.

Find area of quadrilateral in triangle.

Show that if $AR$ intersects midperpendicular of $MN$ at $X$, then $X\in(I)$

Where does this property involving quadrilaterals come from?

How to calculate the co-ordinates of a quadrilateral knowing the side lengths

A Quadrilateral (The National Mathematical Olympiad in Bulgaria)

Let $ABCD$ be a cyclic convex quadrilateral such that $AD + BC = AB$. Prove that the bisectors of the angles $ADC$ and $BCD$ meet on the line $AB$.

Parallel lines & squares

Prove a figure is a cyclic quadrilateral

4-gon with two opposite sides congruent and two opposite angles congruent: necessarily a parallelogram?

A line segment joins the middle points of each diagonal of a quadrilateral with known sides. What is sum of the squares of the diagonals?

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