Area from Medians length

Area of a triangle = $$\large \dfrac 4 3 *$$ (area of triangle formed by the three medians.)
If u,v,w are the lengths of the medians, the area is also =$$\large \dfrac{ 1}{ 3} *\sqrt{2(u^2v^2+v^2w^2+w^2u^2) -(u^4+v^4+w^4)}.$$

Note by Niranjan Khanderia
3 years, 2 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

sir maybe you could just go to the site of University of Georgia and then look for this page on area of triangle given median lengths or you could just Google the above topic and I believe there is another webpage on the same topic which is very informative and there are other forms of the formula as well. thank you

- 1 year, 3 months ago

Thank you.

- 1 year, 3 months ago

http://jwilson.coe.uga.edu/emt725/Medians.Triangle/Area.Medians.Tri.html. That's for extra information, I found it wonderful

- 1 year, 3 months ago

"$$\color{red}{Forbidden\\ \\~~~\\ You~ don't~ have ~permission~ to ~access \\ /emt725/Medians.Triangle/ ~on~ this~ server. }$$

I was not allowed ! Any other way to see what you suggest ? Thanks.

- 1 year, 3 months ago

Cannot understand what you nean by 4/3

- 3 years, 1 month ago

One and one third.

- 3 years ago