Difference between revisions of "1953 AHSME Problems/Problem 26"
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Revision as of 03:10, 26 June 2018
Problem 26
The base of a triangle is inches. Two lines are drawn parallel to the base, terminating in the other two sides, and dividing the triangle into three equal areas. The length of the parallel closer to the base is:
Solution
Let the triangle be where
is the base. Then let the parallels be
and
, where
is closer to our base
.
It's obvious that , where
, so
. Since we know
,
Hence our answer is