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Question Number 203107 by cherokeesay last updated on 10/Jan/24

Commented by cherokeesay last updated on 10/Jan/24

Find the length x.

Answered by deleteduser1 last updated on 10/Jan/24

$$LetDAandCBmeetatE;AE=yandEB=z$$$$\frac{z}{z+12}=\frac{m}{2m}=\frac{1}{2}\Rightarrow z=12;\frac{y}{y+15}=\frac{1}{2}\Rightarrow y=15$$$${15}^2={12}^2+{\left(m\right)}^2\Rightarrow m=9$$$$r\frac{(30+24+18)}{2}=\frac{1}{2}\times 24\times 2m=24\times 9\Rightarrow r=6$$$$\Rightarrow CF=r=6\Rightarrow DF=12\Rightarrow DG=12\Rightarrow x=3$$

Commented by cherokeesay last updated on 10/Jan/24

$$Sonice!thankyou!$$

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