题目内容
将腰长为6cm,底边长为5cm的等腰三角形废料加工成菱形工件,菱形的一个内角恰好是这个三角形的一个角,菱形的其它顶点均在三角形的边上,则这个菱形的边长是 cm.
3或
根据菱形的内角是三角形的顶角和底角两种情况讨论解答
解:如图,设菱形的边长为x,

①若∠A为菱形的内角,则
=
即
解得x=3cm;
②若∠B为菱形的内角,则

即
解得x=
cm.
所以菱形的边长是3或
cm
解:如图,设菱形的边长为x,

①若∠A为菱形的内角,则


即

解得x=3cm;
②若∠B为菱形的内角,则

即

解得x=

所以菱形的边长是3或


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