Tagged Questions
1
vote
1answer
59 views
Triangle optimization problem
Let $a,b,c$ be the sides of a triangle , then what is the maximum and minimum values (if exist) of the following quantities
(i) $\dfrac {a^2b^2c^2}{(a+2b)(a+2c)(b+2c)(b+2a)(c+2a)(c+2b)}$
(ii) ...
3
votes
2answers
115 views
Geometry - Area of Siamese Triangles
How can I find the Area of this figure?
It is quite curious because it is a particular case of this sequence:
Anyone know how to find the area of this sequence as a function of the number of ...
3
votes
2answers
243 views
Finding relative coordinates in triangle
Known: $r$, coordinates of $A$, angle $BAC$=72°
Task: find coordinates of B and C.
So, I have 4 unknown parameters to compute, but only 3 equations.
$r^2$=$(x_a-x_b)^2+(y_a-y_b)^2 $
$(2.49r)^2 = ...
3
votes
1answer
153 views
Algebra question about Triangle Interiors
I was reading about Triangle Interiors on Wolfram Alpha:
http://mathworld.wolfram.com/TriangleInterior.html
and they have a simple equation:
$$\mathbf{v} = \mathbf{v}_0 + a\mathbf{v}_1 + ...
-4
votes
1answer
685 views
How to prove we could use mass point geometry to solve all the triangle problem involving ratio between line segment and transversal in a triangle?
what is an easy way to prove that use mass point geometry to solve a problem in the link i provide that is involving cevians in a triangle is same as using the other way in euclidean geometry or ...
4
votes
3answers
2k views
Find the coordinates in an isosceles triangle
Given:
A = (0,0)
B = (0,-10)
AB = AC
Using the angle between AB and AC, how are the coordinates at C calculated?
