菱形ABCD的周长为28cm,∠BAD:∠ABC=1:2,则BD=______AC=___

每条边长为：28÷4=7cm
因为∠BAD+∠ABC=180
所以∠BAD=180×(1/1+2)=60,∠ABC=180×(2/1+2)=120
连结BD,AC,交于点O
则BD平分∠ABC,AC平分∠BAD
∠ABD=60,∠BAC=30
BD=2×BO=2×AB×sin30=2×7×1/2=7cm
AC=2×AO=2×AB×cos30=2×7×根号3/2=7根号3cm