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Mathematics 20 Online
OpenStudy (anonymous):

Geometry help

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

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?

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

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

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

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

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