题目内容
如图,是一块四边形花园ABDC,在一次数学课外实践活动中,小刚量得,AC =" 3" m,AB =" 4" m,CD =m,BD =" 10" m.求这个花园的面积.(结果保留整数,其中)
28m2
解:连接BC
∵AC = 3,AB = 4,∠A = 90°,
∴BC·························4分
∵ BC = 5, CD =, BD =" 10,"
∵
∴∠BCD =" 90°····························" 8分
∴ (m2) 12分
连接BC,根据勾股定理可求得BC的长,根据勾股定理的逆定理可得到△BCD也是直角三角形,从而求得△ABC与△BCD的面积和即得到了四边形ABDC的面积
∵AC = 3,AB = 4,∠A = 90°,
∴BC·························4分
∵ BC = 5, CD =, BD =" 10,"
∵
∴∠BCD =" 90°····························" 8分
∴ (m2) 12分
连接BC,根据勾股定理可求得BC的长,根据勾股定理的逆定理可得到△BCD也是直角三角形,从而求得△ABC与△BCD的面积和即得到了四边形ABDC的面积
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