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In the figure above,three squares and a triangle have areas of A,B,C,and X as shown.If A=144,B=81,and C=225,then X=
In the figure above,three squares and a triangle have areas of A,B,C,and X as shown.If A=144,B=81,and C=225,then X=
admin
2022-10-18
43
问题
In the figure above,three squares and a triangle have areas of A,B,C,and X as shown.If A=144,B=81,and C=225,then X=
选项
A、150
B、144
C、80
D、54
E、36
答案
D
解析
The side lengths of the squares with areas 144, 81, and 225 are 12, 9, and 15, respectively, so the triangle with area X has sides 12,9, and 15. Because 12
2
+ 9
2
= 15
2
, the triangle with area X is a right triangle with legs of length 12 and 9. Thus, X=
= 54.
The correct answer is D.
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