Difference between revisions of "1964 AHSME Problems/Problem 33"
(Created page with "==Problem== <math>P</math> is a point interior to rectangle <math>ABCD</math> and such that <math>PA=3</math> inches, <math>PD=4</math> inches, and <math>PC=5</math> inches. The...") |
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label("$5$",(4.5,3),dir(120)); | label("$5$",(4.5,3),dir(120)); | ||
</asy> | </asy> | ||
| + | |||
| + | ==See Also== | ||
| + | {{AHSME 40p box|year=1964|num-b=32|num-a=34}} | ||
| + | |||
| + | [[Category:Introductory Geometry Problems]] | ||
| + | |||
| + | {{MAA Notice}} | ||
Revision as of 23:17, 24 July 2019
Problem
is a point interior to rectangle 
and such that 
inches, 
inches, and 
inches. Then 
, in inches, equals:
![[asy] draw((0,0)--(6.5,0)--(6.5,4.5)--(0,4.5)--cycle); draw((2.5,1.5)--(0,0)); draw((2.5,1.5)--(0,4.5)); draw((2.5,1.5)--(6.5,4.5)); draw((2.5,1.5)--(6.5,0),linetype("8 8")); label("$A$",(0,0),dir(-135)); label("$B$",(6.5,0),dir(-45)); label("$C$",(6.5,4.5),dir(45)); label("$D$",(0,4.5),dir(135)); label("$P$",(2.5,1.5),dir(-90)); label("$3$",(1.25,0.75),dir(120)); label("$4$",(1.25,3),dir(35)); label("$5$",(4.5,3),dir(120)); [/asy]](http://latex.artofproblemsolving.com/a/c/b/acba357af19760a58ca26e2fa1ee09e8f70b7a62.png)
See Also
| 1964 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 32 |
Followed by Problem 34 | |
| 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. 
