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Question Number 138758 by EnterUsername last updated on 17/Apr/21

Answered by mr W last updated on 18/Apr/21

Commented by mr W last updated on 18/Apr/21

$$AD=6-\frac{3}{2}-\frac{4}{2}=\frac{5}{2}$$$$AB=\frac{3}{2}+\frac{4}{2}=\frac{7}{2}$$$$DB=\sqrt{{\left(\frac{7}{2}\right)}^2-{\left(\frac{5}{2}\right)}^2}=\sqrt{6}$$$$EC=\frac{6}{2}-\frac{4}{2}=1$$$$BC=\frac{6}{2}+\frac{4}{2}=5$$$$BE=\sqrt{5^2-1^2}=2\sqrt{6}$$$$l=DB+BE=\sqrt{6}+2\sqrt{6}=3\sqrt{6}$$

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