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=

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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 122 + 92 = 152, 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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