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Question-215313




Question Number 215313 by AlagaIbile last updated on 02/Jan/25
Answered by mr W last updated on 02/Jan/25
∠ABD=135°  ⇒∠CBD=45°  ⇒CD=CB=2  ⇒AD=(√((12+2)^2 +2^2 ))=10(√2)  ⇒x=((AD)/( (√2)))=10 ✓
$$\angle{ABD}=\mathrm{135}° \\ $$$$\Rightarrow\angle{CBD}=\mathrm{45}° \\ $$$$\Rightarrow{CD}={CB}=\mathrm{2} \\ $$$$\Rightarrow{AD}=\sqrt{\left(\mathrm{12}+\mathrm{2}\right)^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} }=\mathrm{10}\sqrt{\mathrm{2}} \\ $$$$\Rightarrow{x}=\frac{{AD}}{\:\sqrt{\mathrm{2}}}=\mathrm{10}\:\checkmark \\ $$
Answered by cherokeesay last updated on 02/Jan/25

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