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 $DE$?
What is DE ?
¯BC2=¯AB2+¯AC2−2⋅¯AB⋅¯AC⋅cos αα=acos (¯AB2+¯AC2−¯BC22⋅¯AB⋅¯AC)α=acos (132+192−322⋅13⋅19)=acos (1.0546 ...)α= unreal
The segments 3, 13 and 19 do not form a closed triangle.
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