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Question Number 7164 by aftab ahmad last updated on 14/Aug/16

Answered by Yozzia last updated on 14/Aug/16

By Power of a Point theorem,  (AB)(AC)=(AD)(AD)=(AD)^2   ⇒AC=(((AD)^2 )/(AB))=((10^2 )/5)=20cm

$${By}\:{Power}\:{of}\:{a}\:{Point}\:{theorem}, \\ $$$$\left({AB}\right)\left({AC}\right)=\left({AD}\right)\left({AD}\right)=\left({AD}\right)^{\mathrm{2}} \\ $$$$\Rightarrow{AC}=\frac{\left({AD}\right)^{\mathrm{2}} }{{AB}}=\frac{\mathrm{10}^{\mathrm{2}} }{\mathrm{5}}=\mathrm{20}{cm} \\ $$

Commented by aftab ahmad last updated on 14/Aug/16

Thank you so much sir for the help.

$$\boldsymbol{{T}}{hank}\:{you}\:\boldsymbol{{so}}\:\boldsymbol{{much}}\:\boldsymbol{{sir}}\:\boldsymbol{{for}}\:\boldsymbol{{the}}\:\boldsymbol{{help}}. \\ $$

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