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OpenStudy (anonymous):
Ab is tangent to the circle , AD = 4, and BC = 3. Solve for x.
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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
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OpenStudy (vishweshshrimali5):
4+3
OpenStudy (vishweshshrimali5):
Its radius :)
OpenStudy (anonymous):
ok my answer is
x=5.29
OpenStudy (vishweshshrimali5):
correct
OpenStudy (vishweshshrimali5):
Good work :)
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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
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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?
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OpenStudy (vishweshshrimali5):
You have to use Pythogoras theorem.
Remember that tangent always is perpendicular to radius.
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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
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OpenStudy (anonymous):
\[2\sqrt{10}=6.32\]
OpenStudy (anonymous):
@vishweshshrimali5 thanks again
OpenStudy (vishweshshrimali5):
No problem
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