Question

Help me prove the following difficult statements about parabolas and triangles

score 298 · Answer 1 · 2026-03-25 18:47:17

298

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Help me prove the following difficult statements about parabolas and triangles

Published on 25 Mar 2026 - 18:47

score 101 · Answer 2 · 2018-11-08 06:46:33

101

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score 214 · Answer 3 · 2026-03-25 20:11:58

214

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Evaluating $\sum_{(a,b,c)\in T}\frac{2^a}{3^b 5^c}$, for $T$ the set of all positive integer triples $(a,b,c)$ forming a triangle

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score 1.5k · Answer 4 · 2026-03-25 17:42:09

1.5k

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A conjecture about the sum of the areas of three triangles built on the sides of any given triangle

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score 173 · Answer 5 · 2018-11-09 13:28:39

173

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Lines through vertices of $\triangle ABC$ and a point $Q$ meet opposite sides at $M$, $N$, $P$. When is $Q$ the orthocenter of $\triangle MNP$?

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score 183 · Answer 6 · 2018-11-10 21:00:10

183

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score 1k · Answer 7 · 2026-03-25 17:45:09

1k

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score 490 · Answer 8 · 2026-03-25 10:57:30

490

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score 312 · Answer 9 · 2018-11-12 10:42:35

312

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1.8k

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34

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score 121 · Answer 12 · 2018-11-13 04:15:21

121

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216

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294

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score 49 · Answer 15 · 2026-03-25 22:26:40

49

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List Question

Help me prove the following difficult statements about parabolas and triangles

Geometry/trig help - having trouble finding an angle

Evaluating $\sum_{(a,b,c)\in T}\frac{2^a}{3^b 5^c}$, for $T$ the set of all positive integer triples $(a,b,c)$ forming a triangle

A conjecture about the sum of the areas of three triangles built on the sides of any given triangle

Lines through vertices of $\triangle ABC$ and a point $Q$ meet opposite sides at $M$, $N$, $P$. When is $Q$ the orthocenter of $\triangle MNP$?

Under what conditions do the angle bisectors of a triangle make $120^\circ$ angles at the incenter?

Proof without words of a simple conjecture about any triangle

Angles of triangle $\triangle XYZ$ do not depend on the position of point $P$ (proof needed)

How to calculate sides and degrees of triangle

Finding Angle in Triangle inside square

Slope of a triangle where the sum of the height at each integer equals 1.

Finding the side length of an equilateral triangle having three inscribed $120^\circ$ sectors in a certain arrangement

A question based on triangles and sequence and series.

Sum of areas of triangles formed from medians.

Height of a Triangle, and a Progression of Triangles

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