Question

在三角形ABC中,点D,E在边BC和AB上,且BC:DC=2:3,AE=EB,求三角形ABC的面积：四边形AEDC的面积

Answer 1

S△ADC/S△ABD=3/2 S△ADC=3/5 S△ABC S△ABD=2/5S△ABC

S△ADE=1/2S△ABD=1/5S△ABC

S四边形AEDC=S△ADC+S△ADE=3/5S△ABC+1/5S△ABC=4/5S△ABC