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estudier Group TitleBest ResponseYou've already chosen the best response.0
dw:1350208678915:dw
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
What is that?
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
is that 5,7,10
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
A square, a point inside of it distances from 3 vertices as shown
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
This is for experimentX, who loves algebra..:)
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
haha ... you are kidding!!
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
It's not too hard..(it's still too early)
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
is that all info??
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
if we call ne side a then the area is \[A=a^2\]
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
and the side is less than 17
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
according to triangle equality
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
dw:1350209046775:dw
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
\[9^2=a^2+10^22(10)(a)\cos \theta\] \[762=10^2+a^22(a)(10)\cos (90\theta)\]
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
2 var 1 equation suggests simultaneous equations as the way to go....
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
dw:1350209083317:dw
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
i meant 7^2dw:1350176811646:dw
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
JonasK is on the right track
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
what about using the area rule
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
probably @hartnn method would work out too ... since they are all independent equations.
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Probably...
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
"what about using the area rule" U just want to get rid of the 90 bit and then you can get rid of theta
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
still that's quite a bit of algebra since they are all non linear equations ... let's try something better.
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Cos of angle opposite 7 is sin theta....
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
dw:1350209708034:dw
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
What I mean is that if angle opposite 9 is theta, then cos of angle opposite 7 is sin theta
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
As JonasK had it at first...
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
expX, now eliminate theta....
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
you know i rely on wolf for this http://www.wolframalpha.com/input/?i=2*10*a+sin%28theta%29+%3D+10^2+%2B+a^2+++9^2%2C+2*10*a+cos%28theta%29+%3D+10^2+%2B+a^2+++7^2
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
\[32=20(a)\cos \theta+20(a)\sin \theta\]
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Don't be lazy....:)
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
haha ..
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Sin and Cos should auto response.....
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
\[\frac{ 32 }{ 20 a}=\cos \theta \sin \theta\]
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
\[\cos \theta \sin \theta =\sqrt{2} \sin(45\theta)\]
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
with  before
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
@Jonask An identity (well known) in Sin and Cos?
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
haa ... i was being fool trying to eliminate theta directly.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
dw:1350210145598:dw
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
A bit messy but sufficient...:)
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
still quartic equation is pretty awful ... i must say!!
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Yes, squaring and adding gets shot of theta...
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
U get after simplification...400x^2 = (x^2 +19)^2 + (x^2 +51)^2 > x^4 130 x^2 +1481
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Which is quadratic in x^2
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
Oh .. that's pretty nice!!
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.2
direct answer.
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
let \[10^2a^2=b\] \[\frac{ (7^2 b)^2}{ (20a )^2}+\frac{ (9^2b)^2 }{ (20a)^2 }=1\]
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
@estudier seems better
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.0
dw:1350210434675:dw x+2y = 7 ..(1) y^2 + (x+y)^2 = 81 ..(2) hope that does it..
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.0
correction : x+2y = 10
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.0
solving shouldnt be much problem since from (1) , x+y = 10y and we plug that directly in (2)
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
the line with lenght 10 is not necessarily a diagonal when extrapolated ??
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Eh? Some extra ssumptions there....
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.0
ohh..lol..so sorry! :P
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
\[a=10,834, a=3,552\]
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
can we eliminate according to triangle inequality 3,552 such that \[A=(10,834)^2\]
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
65 + 14 sqrt 14 I think.
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
same thing i just approaximated it
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
\[A=(\sqrt{64+14\sqrt{14}} )^2\]
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
\[A=65+14\sqrt{14}\]
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
@shubhamsrg if we consider the triangles to be equilateral then how wuld we solve it dw:1350178935156:dw with common side 10,
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.0
equilateral ?
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
dw:1350179036162:dw such that the legth is now diagonal
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.0
you mean like this: dw:1350211506937:dw ??
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.0
for that i had given the solution above.. x+2y = 10 ..(1) y^2 + (x+y)^2 = 81 ..(2) from (1), x+y = 10y and we plug this in (2) to solve for y, and x and ultimately area..
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
nice work @sauravshakya
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
Thanx @Jonask
 2 years ago

Jonask Group TitleBest ResponseYou've already chosen the best response.2
what disqualifies 6514root14
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
@Jonask That's for x^2, remember....
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.1
I think I have written reason for that too.
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
@sauravshakya Yes, good job (I think he just forgot it was for x^2)
 2 years ago
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