Art of Problem Solving

2019 AMC 12B Problems/Problem 6: Difference between revisions

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==Problem==
#REDIRECT[[2019_AMC_10B_Problems/Problem_10]]
Triangle has base 10, area 100, perimeter 50.
How many of such triangles exist?
 
==Solution 1==
 
0 (SuperWill)
 
==Solution 2==
 
Draw segment AB with length 10:
 
<math>A-------10-------B</math>
 
To have area 100, we need the height to be 20, but there is to way to do this when the sum of the other sides is <math>50-10=40</math>.
 
--mguempel
 
 
==See Also==
{{AMC12 box|year=2019|ab=B|num-b=5|num-a=7}}
{{MAA Notice}}

Latest revision as of 14:42, 14 February 2019