AMC 8 2023 Problem 24

AMC8 2023 年第 24

三角形★★★★
Isosceles triangle ABCABC has equal side lengths ABAB and BCBC. In the figures below, segments are drawn parallel to \overlineAC\overlineAC so that the shaded portions of ABC\triangle ABC have the same area. The heights of the two unshaded portions are 11 and 5 units, respectively. What is the height hh of ABC\triangle ABC?
在等腰三角形ABC中,边AB和BC的长度相等.在下图中,由平行于AC的线段形成的△ABC中的两个阴影部分具有相同的面积. 两个空白部分的高度分别为 11和5. 问△ABC的高h是多少?
AMC 8 2023 Problem 24 figure
  1. A.14.6
  2. B.14.8
  3. C.15
  4. D.15.2
  5. E.15.4

正确答案 · Correct Answer

A

解析 · Solution

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