AMC 8 2016 Problem 25

AMC8 2016 年第 25 题

三角形★★★★☆

A semicircle is inscribed in an isosceles triangle with base 16 and height 15 so that the diameter of the semicircle is contained in the base of the triangle as shown. What is the radius of the semicircle?

如图所示，一个底边为 16，高为 15 的等腰三角形内有一个半圆与两条腰相切，并且半圆的直径与三角形的底边重合，问这个半圆的半径是多少？

AMC 8 2016 Problem 25 figure

A. $4 \sqrt{3}$
B. $\dfrac{120}{17}$
C.10
D. $\dfrac{17\sqrt{2}}{2}$
E. $\dfrac{17\sqrt{3}}{2}$

正确答案 · Correct Answer

B

解析 · Solution

解析整理中

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