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 24II 20III 5A.I only B.II only C.III only D.II and III only E.I,II and III

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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 24II 20III 5A.I only B.II only C.III only D.II and III only E.I,II and III

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 24II 20III 5A.I only B.II only C.III only D.II and III only E.I,II and III
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

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 24II 20III 5A.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!

D,20是以5,8为直角边的直角三角形,5是高为2 的钝角三角形

C

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