[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

View post   
File: 68 KB, 1427x1396, geometry.png [View same] [iqdb] [saucenao] [google]
11153060 No.11153060 [Reply] [Original]

I made a geometry problem for you.

Pic related is the unit square.
What is the area of the triangle inside the red lines?

>b-but the red lines all intersect in a single point
no, they don't

>> No.11153071

I prefer the wang conundrum

>> No.11153080

>>11153060
What do you even mean "inside" the red lines?

>> No.11153097
File: 58 KB, 3000x1396, triangle.png [View same] [iqdb] [saucenao] [google]
11153097

>>11153080
here is a zoomed in version
triangle is in the bottom right
black line is there for scale

>> No.11153114

>>11153097
KYS

>> No.11153133

>>11153114
you good?

>> No.11153135

>>11153060
I am 500% sure I could solve this by hand using analytic geometry, but miss me with that shit.

>> No.11153151

>>11153135
yeah that's what I used
the solution is pretty nice, it's a unit fraction

>> No.11153156

>>11153151
That's obvious. It's just lines and line intersections, why would any squares or roots show up?

>> No.11153164

>>11153156
I know it's obvious that it's a fraction, but I didn't really expect a unit fraction

>> No.11153312

ok I go sleep now
somebody better have the answer when I wake up

>> No.11154028

>>11153097
>>11153135
>>11153151
>analytic geometry
>still solving problems at the literal 8th grade level
Geometers, everyone!

>> No.11154359

>>11153312
ok I awake now
where is answer

>> No.11156105

nobody?

ok it's 1/15985920

>> No.11156146

>>11156105
I don't believe you. Prove it.

>> No.11156237
File: 312 KB, 3000x1690, area.png [View same] [iqdb] [saucenao] [google]
11156237

>>11156146
well I'm not going to write it all out for you
but you can find the intersections of all of the black lines by typing stuff like "intersection of -2x+1 and x+1/2" into wolfram alpha
once you have all those intersection points, you can find the equations for the red lines by typing "line through (1/3,5/6) and (3/5,1/5)" etc.
after that you can find the intersections of the red lines in the same way
these intersections are (143/345,221/345), (53/128,41/64) and (75/181,116/181)
then you can find the area of the triangle by typing "area of triangle (143/345,221/345), (53/128,41/64), (75/181,116/181)"
and it will tell you it's 1/15985920, which is about 6.2555E-8, which is the same result geogebra gives me (see pic)

you can do all these steps by hand of course, but it's just a lot of work

>> No.11156244

>>11156237
And here I thought you would give a creative or insightful proof of the result... This is a problem for monkeys and computer scientists (same thing). It doesn't belong on /sci/

>> No.11156274
File: 2.30 MB, 1715x1396, stuff.png [View same] [iqdb] [saucenao] [google]
11156274

>>11156244
>And here I thought you would give a creative or insightful proof of the result...
hahaha of course not, it's just autism

>> No.11156291
File: 1.74 MB, 1411x1380, stuff.png [View same] [iqdb] [saucenao] [google]
11156291