已知三角形ABC,∠A=22.5°,∠C=45°,AB=6cm,求S△ABC=?
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分享交流一下我的解题思路:
作CD⊥AB EB⊥BC EF⊥AB
∠CEB=45° ∠EBF=22.5°
AE=BE
BF=½×6=3
BE=BC
∠EBF=∠BCD ∠FEB=∠DBC
△BEF≌△CBD
CD=BF=3
S△ABC=½×6×3=9cm²
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