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Mathematics 13 Online
OpenStudy (anonymous):

Ab is tangent to the circle , AD = 4, and BC = 3. Solve for x.

OpenStudy (anonymous):

OpenStudy (vishweshshrimali5):

You can use secant tangent formula

OpenStudy (vishweshshrimali5):

AB^2 = AD * AC

OpenStudy (anonymous):

\[x^2=4*4+x\]

OpenStudy (anonymous):

or is the last part 4+3

OpenStudy (vishweshshrimali5):

4+3

OpenStudy (vishweshshrimali5):

Its radius :)

OpenStudy (anonymous):

ok my answer is x=5.29

OpenStudy (vishweshshrimali5):

correct

OpenStudy (vishweshshrimali5):

Good work :)

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

my choices are these \[A.\sqrt{5}\] \[B.5\] \[C.2\sqrt{10}\] \[D.\sqrt{58}\]

OpenStudy (anonymous):

so my answer would be B.5 right?

OpenStudy (vishweshshrimali5):

yes

OpenStudy (anonymous):

because A.2.23 C.6.32 D.7.61

OpenStudy (vishweshshrimali5):

Yeah

OpenStudy (anonymous):

@vishweshshrimali5 ok just double checking

OpenStudy (vishweshshrimali5):

No no wait

OpenStudy (vishweshshrimali5):

You can't apply tangent secant theorem here

OpenStudy (anonymous):

ok so what would i do?

OpenStudy (vishweshshrimali5):

You have to use Pythogoras theorem. Remember that tangent always is perpendicular to radius. |dw:1403060924560:dw|

OpenStudy (anonymous):

\[3^2+x^2=7^2\] \[9+x^2=49\] \[x^2=40\] \[x=6.32\]

OpenStudy (vishweshshrimali5):

\[\sqrt{40} = 2\sqrt{10}\]

OpenStudy (anonymous):

right

OpenStudy (vishweshshrimali5):

Good

OpenStudy (anonymous):

\[2\sqrt{10}=6.32\]

OpenStudy (anonymous):

@vishweshshrimali5 thanks again

OpenStudy (vishweshshrimali5):

No problem

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