Median of a Triangle in LaTeX: Difference between revisions
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The [[median]] of a [[triangle]] can be depicted using <math>\LaTeX | The [[median]] of a [[triangle]] can be depicted using <math>\LaTeX</math>. | ||
We begin by drawing a basic triangle: | We begin by drawing a basic triangle: | ||
Revision as of 13:06, 25 March 2020
The median of a triangle can be depicted using 
.
We begin by drawing a basic triangle:
unitsize(0.5 cm);
pair A, B, C;
A = (3,6); B = (-5,2); C = (7,-8);
draw(A--B--C--cycle);
Which gives:
![[asy] unitsize(0.5 cm); pair A, B, C; A = (3,6); B = (-5,2); C = (7,-8); draw(A--B--C--cycle); [/asy]](http://latex.artofproblemsolving.com/6/3/f/63fd6d234fdb5ceb0334faa90c6a0dc7e4957040.png)
The median is located halfway between the points so we add:
unitsize(0.5 cm);
pair A, B, C, D, E, F, G;
A = (3,6); B = (-5,2); C = (7,-8); D = (B + C)/2; E = (A + C)/2; F = (A + B)/2;
draw(A--D,red); draw(B--E,red); draw(C--F,red); draw(A--B--C--cycle);
Which gives:
![[asy] unitsize(0.5 cm); pair A, B, C, D, E, F, G; A = (3,6); B = (-5,2); C = (7,-8); D = (B + C)/2; E = (A + C)/2; F = (A + B)/2; draw(A--D,red); draw(B--E,red); draw(C--F,red); draw(A--B--C--cycle); [/asy]](http://latex.artofproblemsolving.com/5/c/3/5c3d8cabb3cc5f8b25f24eb2f350d7d789d1c874.png)
This principal can be applied to any triangle.
