2. 外语
  3. 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=

admin2022-10-18  86
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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