3.One side of a triangle has length 8 and a second side has
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3.One side of a triangle has length 8 and a second side has length 5.Which of the following could be the area of the triangle?
I 24
II 20
III 5
A.I only
B.II only
C.III only
D.II and III only
E.I,II and III
I 24
II 20
III 5
A.I only
B.II only
C.III only
D.II and III only
E.I,II and III
这个题目是说,已知一个三角形有两边分别长8和5,问面积可能是下面的哪种?
因为题目中未解释这个三角形的形状,所以,第三边可以是大于3小于13的任意长度.
如果以长度5的边为底边,其一端为圆心,长度8的边为半径做弧,弧上任意一点都可以作为三角形第三个点.
三角形的高就是这个顶点到底边所在直线的距离,这个高大于0小于8.
当这两边相互垂直时,面积最大为S=5*8/2=20.
所以面积范围是大于0小于20的都可以.
因此选择D.
因为我的英语水平有限,只能用汉语作答.作图水平不高,请慢慢解读.带来不便敬请谅解,谢谢!
因为题目中未解释这个三角形的形状,所以,第三边可以是大于3小于13的任意长度.
如果以长度5的边为底边,其一端为圆心,长度8的边为半径做弧,弧上任意一点都可以作为三角形第三个点.
三角形的高就是这个顶点到底边所在直线的距离,这个高大于0小于8.
当这两边相互垂直时,面积最大为S=5*8/2=20.
所以面积范围是大于0小于20的都可以.
因此选择D.
因为我的英语水平有限,只能用汉语作答.作图水平不高,请慢慢解读.带来不便敬请谅解,谢谢!
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