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bump
bump
by
pepper2831, Jun 23, 2024, 12:52 AM
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sup my people
by
Yiyj1, Mar 7, 2024, 2:08 AM
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Hiiiiiiiiiiiiiiiiiiiiiiiiii
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vanlucas, Mar 28, 2022, 5:36 PM
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bumppppp
by
OliverA, Aug 19, 2021, 5:10 AM
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hi
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Puffer13, Jun 19, 2021, 7:08 PM
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@mathjam that's not even a 2 year bump...
lol
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IMadeYouReadThis, May 6, 2020, 12:44 AM
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bomppppppppppppppppp
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iabzcq, Apr 26, 2020, 10:56 PM
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bumppppp
by
Williamgolly, Apr 2, 2020, 9:23 PM
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helllo!
almost 10 year bump haha
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MathJams, Mar 20, 2020, 12:22 PM
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Don't die!!! This forum/blog is great!
by
Max0815, Jul 19, 2018, 4:18 PM
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Pls come back Binom.
by
Skupp3, Jun 22, 2018, 12:39 AM
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Hi, you teach at A-Star Math camp? I'm learning AMC 10 right now
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K6511, Jun 20, 2018, 4:25 AM
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wait why'd this die ._.
by
GameMaster402, Oct 3, 2017, 12:12 AM
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HiLooooo
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Robot7620, Jan 29, 2017, 11:12 PM
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hello!!!
by
Binomial-theorem, Apr 30, 2016, 9:26 PM
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contrib
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Letti, Mar 8, 2012, 10:42 PM
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WAAAAAY too many weird trig identities.
i mean the pythagoraen one isn't that hard to remember but pretty much everything else.
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AkshajK, Feb 20, 2012, 10:35 PM
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I know but i couldn't say because you can't do 2 shouts in a row :/
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claudiafeng, Feb 20, 2012, 8:14 PM
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@Akshaj: Yes, that's the identity.
@claudiafeng: I think you messed up with your LaTeX with using /pmb. Your LaTeX should read "
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Binomial-theorem, Feb 20, 2012, 6:00 PM
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There is, in fact.
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claudiafeng, Feb 20, 2012, 2:23 PM
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Is there an identity that says
If so i must do more trig
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AkshajK, Feb 20, 2012, 1:15 PM
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You're welcome, glad I could help.
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Binomial-theorem, Feb 17, 2012, 4:31 AM
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Thanks for the tag/category info!
You can probably tell i'm not very good with blogs.
by
airplanes1, Feb 17, 2012, 3:58 AM
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No problem .
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Binomial-theorem, Feb 15, 2012, 5:47 AM
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Hello, Thank you for making be a contributor
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niraekjs, Feb 15, 2012, 5:17 AM
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First shout by AwesomeToad.
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AwesomeToad, Feb 9, 2012, 12:58 AM
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Thanks, actually Dojo made it.
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Binomial-theorem, Feb 7, 2012, 5:45 AM
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Nice new CSS. If I am not mistaken, fries4guys made it. Correct?
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ahaanomegas, Feb 7, 2012, 4:56 AM
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Shoutbox open again.
by
Binomial-theorem, Feb 2, 2012, 2:10 AM
by Binomial-theorem, Jan 23, 2012, 1:06 AM 
, 
is a right angle. Point 
is the midpoint of 
, point 
is the midpoint of 
, and point 
is the midpoint of 
The perimeter of 
and 
. What is the area of 
?
, 
is a right angle. Point 
is the midpoint of 
, point 
is the midpoint of 
, and point 
is the midpoint of 
The perimeter of 
and 
. What is the area of 
?![[asy]
dot((0,0));
dot((4,0));
dot((0,6));
label("$(4b,0)$", (4,0), N);
label("$(0, 4a)$", (0,6), E);
draw((0,0)--(4,0)--(0,6)--(0,0));
draw((0,0)--(0.3, 0)--(0.3, 0.3)--(0, 0.3)--(0,0));
label("$A$", (0,6), W);
label("$B$", (4,0), S);
label("$C$", (0,0), NW);
label("$O$", (1, 4.5), NE);
dot((1, 4.5));
dot((2,3));
label("$(b, 3a)$", (1, 4.5), S);
label("$M$", (2,3), NE);
label("$(2b, 2a)$", (2,3), S);
label("$(0,0)$", (0,0), S);
dot((0,3));
label("$(0, 2a)$", (0,3), S);
label("$N$", (0,3), N);
[/asy]](http://latex.artofproblemsolving.com/5/6/4/564d0fc353e8db5046070314a46807964d5be9a9.png)
.
.
.
,
such that 
.![[asy]
dot((0,0));
dot((4,0));
dot((0,6));
label("$(4b,0)$", (4,0), N);
label("$(0, 4a)$", (0,6), E);
draw((0,0)--(4,0)--(0,6)--(0,0));
draw((0,0)--(0.3, 0)--(0.3, 0.3)--(0, 0.3)--(0,0));
label("$A$", (0,6), W);
label("$B$", (4,0), S);
label("$C$", (0,0), NW);
label("$O$", (1, 4.5), NE);
dot((1, 4.5));
dot((2,3));
label("$(b, 3a)$", (1, 4.5), S);
label("$M$", (2,3), NE);
label("$(2b, 2a)$", (2,3), S);
label("$(0,0)$", (0,0), S);
dot((0,3));
label("$(0, 2a)$", (0,3), S);
label("$N$", (0,3), N);
draw((0,3)--(2,3));
label("$(2b,0)$", (2,0), N);
label("$M'$", (2,0), S);
draw((2,0)--(2,3));
dot((2,0));
[/asy]](http://latex.artofproblemsolving.com/e/6/d/e6d37d48d1aa488007d77f9ddce5eb0f894fb412.png)
![$[NMCB]=[NMM'C]+[MM'B]=4ab+2ab=6ab$](http://latex.artofproblemsolving.com/c/8/b/c8b74b680684b46ab4129593c411413587fb02e2.png)
.
,
.
which implies that 
,![$[NMCB]=6ab=3(84)=\boxed{252}$](http://latex.artofproblemsolving.com/2/e/7/2e7bf632af50be91d22ca3365903b28be83afe03.png)
.
is one half of 
,
,
.
.
,
.
April 2016
February 2016