Question

Let $M$, $N$, $L$ be midpoints of $AB$, $BC$, $AD$. If $CL\parallel AB$ and $NQ\parallel ML$, find the area of $ABCD$.

score 159 · Answer 1 · 2026-03-28 10:24:07

159

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Let $M$, $N$, $L$ be midpoints of $AB$, $BC$, $AD$. If $CL\parallel AB$ and $NQ\parallel ML$, find the area of $ABCD$.

Published on 28 Mar 2026 - 10:24

score 202 · Answer 2 · 2020-04-28 16:14:03

202

Views

One of triangle cevians is also altitude. Prove that it is angle bisector in triangle formed by foots of cevians.

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score 113 · Answer 3 · 2026-03-26 21:12:23

113

Views

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89

Views

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score 140 · Answer 5 · 2026-03-28 10:16:48

140

Views

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353

Views

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score 112 · Answer 7 · 2020-05-01 09:26:12

112

Views

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score 838 · Answer 8 · 2026-03-26 21:07:43

838

Views

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score 59 · Answer 9 · 2020-05-02 03:13:01

59

Views

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score 794 · Answer 10 · 2026-03-27 08:45:59

794

Views

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score 220 · Answer 11 · 2020-05-02 12:57:37

220

Views

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score 95 · Answer 12 · 2026-03-26 04:52:14

95

Views

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score 537 · Answer 13 · 2026-03-26 11:06:55

537

Views

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score 120 · Answer 14 · 2026-03-28 21:50:52

120

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score 47 · Answer 15 · 2026-03-28 06:30:28

47

Views

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List Question

Let $M$, $N$, $L$ be midpoints of $AB$, $BC$, $AD$. If $CL\parallel AB$ and $NQ\parallel ML$, find the area of $ABCD$.

One of triangle cevians is also altitude. Prove that it is angle bisector in triangle formed by foots of cevians.

Construct a chord equal to the radius with compass and straight edge.

High school problem from IMO selection round

Find the specific sides of a parallelogram

tangent plane to a level set

System of Equations: Distances from the Torricelli Point to the Vertices of a Triangle

How to construct an equilateral triangle on 2 concentric circles

Show that the two planes $x\sin\alpha+ y\cos\alpha + z = 3$ and $x\cos\alpha+y\sin\alpha- z = 5$ are not perpendicular $(\alpha \in \mathbb{R})$

Vector equation of a line that is symmetrical to another line L with respect to plane $\Pi$

How to prove van aubel's theorem using elementary geometry

What is the solution set for point $X$ if $|AX|^2+ |BX|^2=c$?

Cutting cylinder with the plane

Is there a p-adic triangle geometry?

How to apply Circular Inversion Geometry?

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