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In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 8$, $BC = 3$, $CE = 1$, $AC = 19$ and $AB = 13$, then what is $DE$?

 Jun 13, 2024
 #1
avatar+15077 
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What is DE ?

 

¯BC2=¯AB2+¯AC22¯AB¯ACcos αα=acos (¯AB2+¯AC2¯BC22¯AB¯AC)α=acos (132+1923221319)=acos (1.0546 ...)α= unreal

 

The segments 3, 13 and 19 do not form a closed triangle.

laugh !

 Jun 14, 2024
edited by asinus  Jun 14, 2024
edited by asinus  Jun 14, 2024
edited by asinus  Jun 14, 2024

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