#I think my friend might have discovered a new theorem.

35 messages · Page 1 of 1 (latest)

buoyant whale
#

Hear me out, I am in 9th grade in Brazil, we are studying the metric relations in a right triangle, and a kid in my class, after the teacher corrected it, the said that the triangle's perimeter divided by 5 is equal to its height, it has worked in every single right triangle we tried it on, but our teacher doesn't know why and nor do we, and I also haven't found anything about it.

I'd like to know if it has already been documented or the kid actually discovered it and why it works.

I thank You all already.

high whaleBOT
#
  1. Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
  2. Wait patiently for a helper to come along.
  3. Once someone helps you, say thank you and close the thread with:
    +close
  4. Feel free to nominate the person for helper of the week in #helper-nominations
  5. Do not ping the mods, unless someone is breaking the rules.
  6. If you're happy with the help you got here, and the server overall, you can contribute financially as well:
sterile hull
#

this can be disproven by using algebra

haughty heron
#

And also, a triangle has three heights.

buoyant whale
haughty heron
buoyant whale
#

i didn't know that, i might discuss it with my teacher monday.

sterile hull
#

but anyhow, it isnt a theorum

#

try proving that with algenra

haughty heron
buoyant whale
#

what?

#

how?

haughty heron
#

...how do you think the height of a triangle is defined?

buoyant whale
#

at least based on what i have been thaught the height is straight line tha comes from a vertex forming a right angle

buoyant whale
raw sedge
#

You can find a counter example quite easily

haughty heron
#

Actually, the unit right triangle is a counterexample.

#

I don't know how you didn't find that one.

#

That is, the isosceles right triangle.

#

With unit leg length.

raw sedge
#

You can find a right triangle with an irrational perimeter but it’s height is rational

haughty heron
#

A right triangle with side lengths 1, 1, sqrt(2) has heights 1, 1, 1/sqrt(2), none of which are equal to (2 + sqrt(2))/5.

raw sedge
#

Nah nvermind

#

Mb I’m tired

#

But a counter example is easily found

haughty heron
buoyant whale
#

sorry, saw it just now

#

we found that it doesnt work if one of them is irrational

#

Thanks

#

+close