Answer
BE=$\sqrt {68}$$\approx$8.2
Work Step by Step
DE$^{2}$+AD$^{2}$=AE$^{2}$
DE$^{2}$=10$^{2}$-8$^{2}$
DE=6
CE=CD-DE
CE=8-6
CE=2
BC$^{2}$+CE$^{2}$=BE$^{2}$
8$^{2}$+2$^{2}$=BE$^{2}$
BE=$\sqrt {68}$$\approx$8.2
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