题目信息
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 =
A:150
B:144
C:80
D:54
E:36
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正确答案：
D:54
Geometry Triangles; Quadrilaterals; Area
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.
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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