Triangles

[Noahs ark6]

hi

I've been told to find some "interesting facts" about triangles.
Any help would be appreciated

 

[Gaz_S]

Look up pythagorean theorem!

 

[Noahs ark6]

Thanks a lot

 

[ian]

they have more than 2 sides, but less than 4.

 

[fluttermoth]

The only interesting thing I can think of right now about triangles is that they're really useful in engineering as they don't skew under pressure (by that I mean that they can't deform; like a square can be pushed sideways into a parallegram)

Does that make sense?

 

[the biffster]

the have three corners

 

[ian]

heres a couple for you...



If AD, BE, and CF are heights of an acute triangle and O is the orthocenter, then AD*AO + BE*BO + CF*CO = (AB2 + BC2 + CA2)/2

In any right triangle, the bisectrix of a right angle divides the angle between the median and the height of the same vertex in two equal angles.

If in a triangle, its median coincides with its height or its height coincides with its bisectrix, then the triangle is isosceles



personally i'd stick with my first one.

 

[the biffster]

heres a couple for you...



If AD, BE, and CF are heights of an acute triangle and O is the orthocenter, then AD*AO + BE*BO + CF*CO = (AB2 + BC2 + CA2)/2

In any right triangle, the bisectrix of a right angle divides the angle between the median and the height of the same vertex in two equal angles.

If in a triangle, its median coincides with its height or its height coincides with its bisectrix, then the triangle is isosceles



personally i'd stick with my first one.

3.29998 recurring

 

[ian]

who'd have thought it!

 

[rdp50734]

A triangles angles all add up to 180 degrees regardless of the type of triangle.

 

[the biffster]

another amazing triangle factoid

 

[sorgan]

The isoperimetric quotient of an equilateral triangle is 0.6046

 

[Ace Of Spades]

They're probably one of the strongest shapes, and as someone said before really useful in designing and Engineering a structure.

 

[Bignose]

Any trigonometry book will have more about triangles than you've ever wanted to know.

And, as nice a the Pythagorean Theorem is, it is just a special case of the law of cosines: http/en.wikipedia.org/wiki/Law_of_cosines because the law of cosines is true for any triangle, not just right triangles, it is much more useful than the Pythagorean Theorem.

 

[saltynay]

Indeed sohcahtoa I scratched that into my desk when I did my GCSE. I also drank 5 redbulls and my brain was literally working 5 times faster then my hand could write really weird experience.... Don't drink coffee save the caffeine resistance until you really need the drug.