Mathematics
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OpenStudy (anonymous):
Geometry help
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OpenStudy (anonymous):
OpenStudy (cwrw238):
because AB is a tangent to the circle triangle ABO is rightangled
use pythagoras
OpenStudy (cwrw238):
the radius AO meets the tangent at A so angle BAO = 90 degrees
OpenStudy (cwrw238):
what can you say about the sides AO and CO ?
OpenStudy (anonymous):
a^2 + b^2 = c^2 so 48^2+ 90^2=100^2
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OpenStudy (cwrw238):
no
OB^2 = AB^2 + AO^2
OpenStudy (cwrw238):
AO = 48 and OB = BC + OC = 100 + ?
OpenStudy (cwrw238):
what is the length of OC?
AO = OC as they are both radii of the circle
OpenStudy (anonymous):
52?
OpenStudy (cwrw238):
no
whats the length of AO?
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OpenStudy (cwrw238):
its given to you AO = 48
so OB = 100 + 48 = 148
do u follow that/
OpenStudy (anonymous):
yes i follow that
OpenStudy (cwrw238):
ok so now you can plug in these values into the pythogoras formula:
148^ = AB^2 + 48^2
now u can find AB^2 and then AB
OpenStudy (cwrw238):
" 148^2
OpenStudy (anonymous):
1904=AB^2 + 2304
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OpenStudy (cwrw238):
21904 = AB^2 + 2304
OpenStudy (cwrw238):
now subtract 2304 from both sides and take the square root of the answer
OpenStudy (anonymous):
384160000
OpenStudy (cwrw238):
hmmm - how did u get that?
did u take the square root or the square??
OpenStudy (cwrw238):
u took the square
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OpenStudy (anonymous):
i did 21904-2304 = 19600^2=384160000
OpenStudy (cwrw238):
yup thats the square
OpenStudy (cwrw238):
its thesquare root of 19600 u want
OpenStudy (anonymous):
thats what i got when i did the square root
OpenStudy (cwrw238):
you pressed the wrong button on ur calculator -or maybe you didn't use the shift key
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OpenStudy (anonymous):
140
OpenStudy (anonymous):
hit the wrong key
OpenStudy (anonymous):
they are right next to each other
OpenStudy (cwrw238):
140 is correct
OpenStudy (cwrw238):
AB^2 = 19600
so AB = square root of AB^2 = sqrt 19600 = 140