Question

Distance ratio on a triangle side for angle bisecting line, altitude and contact point of the inscribed circle

score 67 · Answer 1 · 2019-06-23 14:39:43

67

Views

Distance ratio on a triangle side for angle bisecting line, altitude and contact point of the inscribed circle

Published on 23 Jun 2019 - 14:39

score 4.1k · Answer 2 · 2019-06-24 16:36:09

4.1k

Views

Stuck on this - In ABC right triangle AC= $2+\sqrt{3}$ and BC = $3+2\sqrt{3}$. circle touches point C and D, Find the Area of $AMD$

Published on 24 Jun 2019 - 16:36

score 40 · Answer 3 · 2019-06-25 05:09:00

40

Views

Question under solution of triangles

Published on 25 Jun 2019 - 5:09

score 29 · Answer 4 · 2019-06-25 20:29:12

29

Views

How much more is the value of the perimeter of the equilateral triangle compared to the bisector of the same triangle

Published on 25 Jun 2019 - 20:29

score 44 · Answer 5 · 2026-03-27 01:46:55

44

Views

Minimum and Maximum range of $\frac{\cot A+\cot B}{\sin^2C} + \frac{2\cot B+2\cot C}{\sin^2 A} - \frac{3\cot C+3\cot A}{\sin^2 B} $

Published on 27 Mar 2026 - 1:46

score 98 · Answer 6 · 2026-03-25 03:02:41

98

Views

Equation for calculate right triangle's third point, Other 2 points and all three sides are known

Published on 25 Mar 2026 - 3:02

score 58 · Answer 7 · 2026-03-25 22:06:05

58

Views

Can we conclude $0^\circ<A\leq B\leq C<180^\circ$ for any $\triangle ABC$ with $0<a\leq b\leq c$?

Published on 25 Mar 2026 - 22:06

score 30 · Answer 8 · 2019-06-28 19:46:03

30

Views

IN $ABC$ triangle $AB=28$, angle $C=120$, what is the value of smallest side of the triangle if $AC:BC=3:5$

Published on 28 Jun 2019 - 19:46

score 327 · Answer 9 · 2026-03-25 07:46:21

327

Views

Given three positive numbers $x,y,z$, prove that $(xyz+x^{2}y+y^{2}z+z^{2}x)^{4}\geqq\frac{256}{27}(x+y+z)^{3}x^{3}y^{3}z^{3}$ .

Published on 25 Mar 2026 - 7:46

score 131 · Answer 10 · 2019-07-01 15:32:24

131

Views

Find angle based on bisector, altitude, median info

Published on 01 Jul 2019 - 15:32

score 140 · Answer 11 · 2019-07-01 22:15:33

140

Views

$\dfrac 1r+\dfrac 1R=\dfrac 1g+\dfrac 1G$ about incircles and excircles

Published on 01 Jul 2019 - 22:15

score 107 · Answer 12 · 2026-03-25 22:03:24

107

Views

Given equilateral $\triangle ABC$ and $M$ at distances $3$, $5$, $4$ from $A$, $B$, $C$, find $\angle AMC$.

Published on 25 Mar 2026 - 22:03

score 68 · Answer 13 · 2026-03-25 15:53:38

68

Views

Given a convex quadrilateral ABCD find the point K inside ABCD that divides the quadrilateral into 4 triangles with specific quality.

Published on 25 Mar 2026 - 15:53

score 297 · Answer 14 · 2019-07-03 19:39:28

297

Views

What is the point of the Encyclopedia of Triangle Centers (aka, Kimberling centers)?

Published on 03 Jul 2019 - 19:39

score 1k · Answer 15 · 2026-03-25 11:10:32

1k

Views

Calculate third point of triangle from two points and vector.

Published on 25 Mar 2026 - 11:10

List Question

Distance ratio on a triangle side for angle bisecting line, altitude and contact point of the inscribed circle

Stuck on this - In ABC right triangle AC= $2+\sqrt{3}$ and BC = $3+2\sqrt{3}$. circle touches point C and D, Find the Area of $AMD$

Question under solution of triangles

How much more is the value of the perimeter of the equilateral triangle compared to the bisector of the same triangle

Minimum and Maximum range of $\frac{\cot A+\cot B}{\sin^2C} + \frac{2\cot B+2\cot C}{\sin^2 A} - \frac{3\cot C+3\cot A}{\sin^2 B} $

Equation for calculate right triangle's third point, Other 2 points and all three sides are known

Can we conclude $0^\circ<A\leq B\leq C<180^\circ$ for any $\triangle ABC$ with $0<a\leq b\leq c$?

IN $ABC$ triangle $AB=28$, angle $C=120$, what is the value of smallest side of the triangle if $AC:BC=3:5$

Given three positive numbers $x,y,z$, prove that $(xyz+x^{2}y+y^{2}z+z^{2}x)^{4}\geqq\frac{256}{27}(x+y+z)^{3}x^{3}y^{3}z^{3}$ .

Find angle based on bisector, altitude, median info

$\dfrac 1r+\dfrac 1R=\dfrac 1g+\dfrac 1G$ about incircles and excircles

Given equilateral $\triangle ABC$ and $M$ at distances $3$, $5$, $4$ from $A$, $B$, $C$, find $\angle AMC$.

Given a convex quadrilateral ABCD find the point K inside ABCD that divides the quadrilateral into 4 triangles with specific quality.

What is the point of the Encyclopedia of Triangle Centers (aka, Kimberling centers)?

Calculate third point of triangle from two points and vector.

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