已知△ABC中,AC=4,BC=3,AB=5,则sinA=( ) A.      B.      C.

已知ABC中,AC=4BC=3AB=5,则sinA=(  )

A      B      C      D

答案

A【考点】锐角三角函数的定义;勾股定理的逆定理.

【专题】压轴题.

【分析】先根据直角三角形的三边长判断出三角形的形状,再根据锐角三角函数的定义求解即可.

【解答】解:∵△ABC中,AC=4BC=3AB=5,即42+32=52

∴△ABC是直角三角形,C=90°

sinA==

故选A

【点评】本题考查了直角三角形的判定定理及锐角三角函数的定义,属较简单题目.

 

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