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Verified answer
BonsoirEB² = 5² +4²
EB² = 25 + 16 = 41
EB = √41 ≈6.4
BC² = 7² +4²
BC² = 49 + 16 = 65
BC = √65 ≈ 8.1
EG² = 6.4² + 8.1²
EG² = 40.96 + 65.61 = 106.57
EG ≈ √106.57 ≈10.32