Difference between revisions of "2019 AMC 10C Problems/Problem 2"

(Created page with "For this problem we shall start by computing the total number of triangles. There are <cmath>\bimom{5}{3}</cmath> ways to choose 3 verticies to form a triangle and of these 10...")
 
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Latest revision as of 19:17, 9 July 2023

For this problem we shall start by computing the total number of triangles. There are

\[\bimom{5}{3}\] (Error compiling LaTeX. Unknown error_msg)

ways to choose 3 verticies to form a triangle and of these 10 triangles only 5 are obtuse triangles. We can do this by either counting them individually or noting that there are 5 options for the middle vertex. Thus the answer is

\[\frac{1}[2}\] (Error compiling LaTeX. Unknown error_msg)