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Mathematics 18 Online
OpenStudy (anonymous):

Need some geometry help

OpenStudy (anonymous):

?

OpenStudy (anonymous):

BC is tangent to circle A at B and to circle D at C. What is AD to the nearest tenth

OpenStudy (anonymous):

I get the basic idea of it, but it would be really helpful is someone could walk me through it

OpenStudy (anonymous):

Draw a line from A to C..Since BC is a tangent to circle A at B.it is perpendicular to the radius.So angle B is 90 degrees

jimthompson5910 (jim_thompson5910):

let me know if this hint helps (see attached)

OpenStudy (anonymous):

so we can use pythagorus theorem and find AC= \[\sqrt{18^2+7^2} = 9.3\]

OpenStudy (anonymous):

@jim_thompson5910 well. its slightly helpful. Im more looking for like a formula..

jimthompson5910 (jim_thompson5910):

after that point, you use the pythagorean theorem a^2 + b^2 = c^2

OpenStudy (anonymous):

Ah, I was about to say that xD

jimthompson5910 (jim_thompson5910):

a = 2 b = 18 c = unknown (length of AD)

OpenStudy (anonymous):

So the square root of 324 +49 = 9.3?

jimthompson5910 (jim_thompson5910):

not 49

jimthompson5910 (jim_thompson5910):

focus on the triangle with legs of 2 and 18 (hypotenuse AD)

OpenStudy (anonymous):

then 2^2 + x ^2 = 18^2??

jimthompson5910 (jim_thompson5910):

more like a^2 + b^2 = c^2 2^2 + 18^2 = c^2 c = ??

OpenStudy (anonymous):

uhm i got 18.1107702762748333

OpenStudy (anonymous):

|dw:1446940810567:dw|

jimthompson5910 (jim_thompson5910):

`uhm i got 18.1107702762748333` me too

OpenStudy (anonymous):

So would that be the length of AD?

jimthompson5910 (jim_thompson5910):

yes roughly 18.1 units

OpenStudy (anonymous):

Thank you so much for showing me how to do this!

jimthompson5910 (jim_thompson5910):

you're welcome

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