Difference between revisions of "1967 AHSME Problems/Problem 21"
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[[Category:Introductory Geometry Problems]] | [[Category:Introductory Geometry Problems]] | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Latest revision as of 01:40, 16 August 2023
Problem
In right triangle 
the hypotenuse 
and leg 
. The bisector of angle 
meets the opposite side in 
. A second right triangle 
is then constructed with hypotenuse 
and leg 
. If the bisector of angle 
meets the opposite side in 
, the length of 
is:
Solution
See also
| 1967 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 20 |
Followed by Problem 22 | |
| 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 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
