2019 AMC 12B Problems/Problem 6

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Problem

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:

$A-------10-------B$

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 $50-10=40$.

--mguempel


See Also

2019 AMC 12B (ProblemsAnswer KeyResources)
Preceded by
Problem 5
Followed by
Problem 7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 12 Problems and Solutions

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