Difference between revisions of "1959 AHSME Problems/Problem 40"
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{{AHSME 50p box|year=1959|num-b=39|num-a=41}} | {{AHSME 50p box|year=1959|num-b=39|num-a=41}} | ||
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+ | [[Category:Intermediate Geometry Problems]] |
Revision as of 18:34, 21 July 2024
Problem
In ,
is a median.
intersects
at
so that
. Point
is on
. Then, if
,
equals:
Solution
Draw with
on
. We know that
, since
.
Likewise, since , we know that
.
Thus, , which is answer
.
See also
1959 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 39 |
Followed by Problem 41 | |
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 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.