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Can I get contributor
by
BossLu99, Apr 21, 2025, 2:06 PM
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contrib?
by
Lhaj3, Apr 12, 2025, 12:43 PM
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added xook
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vincentwant, Apr 2, 2025, 7:05 PM
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orz orz
can I have contrib
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obliteratedshrimps20, Apr 2, 2025, 11:58 AM
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orz
you're gonna make mop trust
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aidan0626, Mar 23, 2025, 11:13 PM
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bruh you are admitting
just dont be me
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alsk, Mar 22, 2025, 5:53 PM
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xooks xonks
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DhruvJha, Mar 14, 2025, 3:24 PM
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W ethan fr
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Pengu14, Feb 23, 2025, 2:30 PM
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ethan is telling me not to susus
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vincentwant, Feb 19, 2025, 11:31 PM
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Don't think ive been here b4......... cantributeor?
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BossLu99, Feb 18, 2025, 10:13 PM
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vinmits orz
contrib?
by
Pengu14, Feb 16, 2025, 11:26 AM
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vinnie orz
gd orz
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KenWuMath, Feb 11, 2025, 6:59 PM
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orz gd player
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Lhaj3, Jan 27, 2025, 5:18 PM
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@below admits orz
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EaZ_Shadow, Jan 19, 2025, 12:44 AM
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thoinkers
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vincentwant, Jan 15, 2025, 12:46 AM
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wait how did you know where i was (the only award i had was the team award and i wasn't in cdr :/)
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vincentwant, Sep 22, 2023, 2:29 AM
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can i have contrib
also if i saw u at state (i sat 2 rows behind you during awards and cdr)
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Turtle09, Sep 22, 2023, 2:00 AM
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also i changed the css to tint blue a bit
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vincentwant, Sep 7, 2023, 12:01 AM
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lol if you look at the earlier posts none of them are math-related
i deleted some of them
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vincentwant, Sep 6, 2023, 11:35 PM
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hello
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ultimate_life_form, Aug 24, 2023, 9:19 PM
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true true
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Aminecraftbear, May 7, 2023, 2:29 PM
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wdym richard rusczyk obviously posted here what are you guys talking about
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vincentwant, May 7, 2023, 4:51 AM
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Lol yeah...
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Aminecraftbear, May 6, 2023, 9:16 PM
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I can confirm that there is no Richard Rusczyk post here.
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Technodoggo, May 6, 2023, 3:50 AM
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chees com 1800 ook bro
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mathfan2020, Apr 17, 2023, 2:38 AM
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it's been forever since I checked this lol
@aayr I play on chess.com
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vincentwant, Apr 2, 2023, 1:22 AM
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do u do chess or lichess? if chess.com add me as friend pls
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aayr, Mar 31, 2023, 3:40 PM
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challenge me on lichess @Hanographix
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PEKKA, Feb 26, 2023, 7:03 PM
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omg it's vincentwnat
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TethysTide, Jan 18, 2023, 3:58 AM
by vincentwant, Oct 1, 2023, 7:27 PM 
be an acute scalene triangle with circumcircle 
. The tangents to 
and 
intersect at 
. Let 
and 
be the projections of 
and 
, respectively. Suppose 
, 
, and 
. Find 
.
be an acute scalene triangle with circumcircle 
. The tangents to 
and 
intersect at 
. Let 
and 
be the projections of 
and 
, respectively. Suppose 
, 
, and 
. Find 
.![[asy]
unitsize(10);
draw(circle((0,0),sqrt(130)));
dot((0,0));label((0,0),"O",2.6*W+0.3*S);
label((-3,11),"A",N);
label((-9,-7),"B",W);
label((9,-7),"C",E);
label((0,-7),"D",NE);
label((-6,2),"E",W);
label((3,2),"F",E);
label((0,-130/7),"T",SE);
label((-81/7,-103/7),"X",W);
label((81/7,-76/7),"Y",E);
draw((-12,-16)--(-3,11)--(15,-16));
draw((-9,-7)--(0,-130/7)--(9,-7)--cycle);
draw((-81/7,-103/7)--(0,-130/7)--(81/7,-76/7)--cycle);
draw((-6,2)--(0,0)--(3,2));
draw((-9,-7)--(0,0)--(9,-7));
draw((-3,11)--(0,0)--(0,-130/7));
[/asy]](http://latex.artofproblemsolving.com/4/7/a/47aca2bd61b89db2e55eadf0cd2916a9a6c5017e.png)
,
and 
be the projections of 
and 
Therefore, 
and 
.
and 
intersect at 
Quadrilateral 
is a kite, so 
It is then easy to see that 
by similar triangles. We also have 
and we find that 
and 
and 
If we define 
,
we have 
and 
.
and 
Applying the law of cosines to 
,
This simplifies to 
which computes to 
Therefore, 
,
Adding 
to both sides, we have 
,
Adding 
and 
together, we have 
,
and 
April 2025
March 2025