2016 AMC 8 Problems/Problem 25: Difference between revisions
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<math>\textbf{(A) }4 \sqrt{3}\qquad\textbf{(B) } \dfrac{120}{17}\qquad\textbf{(C) }10\qquad\textbf{(D) }\dfrac{17\sqrt{2}}{2}\qquad \textbf{(E)} \dfrac{17\sqrt{3}}{2}</math> | <math>\textbf{(A) }4 \sqrt{3}\qquad\textbf{(B) } \dfrac{120}{17}\qquad\textbf{(C) }10\qquad\textbf{(D) }\dfrac{17\sqrt{2}}{2}\qquad \textbf{(E)} \dfrac{17\sqrt{3}}{2}</math> | ||
==Solution 1== | ==Solution 1== | ||
Revision as of 10:04, 23 November 2016
25. A semicircle is inscribed in an isosceles triangle with base 
and height 
so that the diameter of the semicircle is contained in the base of the triangle as shown. What is the radius of the semicircle?
![[asy]draw((0,0)--(8,15)--(16,0)--(0,0)); draw(arc((8,0),7.0588,0,180));[/asy]](http://latex.artofproblemsolving.com/5/8/5/585fca3c7a910c5787429738a441c0c2accc394d.png)
Solution 1
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