AMC 8 2023 Problem 19

AMC8 2023 年第 19

三角形★★★☆☆
An equilateral triangle is placed inside a larger equilateral triangle so that the region between them can be divided into three congruent trapezoids, as shown below. The side length of the inner triangle is $2/3$ the side length of the larger triangle. What is the ratio of the area of one trapezoid to the area of the inner triangle?
如图所示,一个等边三角形在另一个更大的等边三角形内部,它们之间的区域可以分成三个全等的梯形.内部三角形的边长是大三角形边长的$2/3$,问一个梯形的面积与内部三角形的面积之比是多少?
AMC 8 2023 Problem 19 figure
  1. A.1: 3
  2. B.3: 8
  3. C.5: 12
  4. D.7: 16
  5. E.4: 9

正确答案 · Correct Answer

C

解析 · Solution

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