BD²=AB²+AD²
BD²=16+48
BD²=64
BD=8
AE²=AD²-DE²
AE²=AB²-BE²
AD²-DE²=AB²-BE²
BE=8-DE
AD²-DE²=AB²-(8-DE)²
16-DE²=48-(64-16DE+DE²)
16-DE²=48-64+16DE-DE²
-DE²+DE²-16DE+16-48+64=0
-16DE+32=0
16DE=32
DE=2
EB=8-2=6
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BD²=AB²+AD²
BD²=16+48
BD²=64
BD=8
AE²=AD²-DE²
AE²=AB²-BE²
AD²-DE²=AB²-BE²
BE=8-DE
AD²-DE²=AB²-(8-DE)²
16-DE²=48-(64-16DE+DE²)
16-DE²=48-64+16DE-DE²
-DE²+DE²-16DE+16-48+64=0
-16DE+32=0
16DE=32
DE=2
EB=8-2=6