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解答

依正弦定理得
a/sinA = b/sinB = c/sinC
即sinA:sinB:sinC = a:b:c
又三角形ABC面積 = a*ha/2 = b*hb/2 = c*hc/2
即6a = 3b = 4c
(同除以6 3 4最小公倍數12)
a/2 = b/4 = c/3
a:b:c = 2:4:3

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