Difference between revisions of "1981 AHSME Problems/Problem 5"
Coolmath34 (talk | contribs) (Created page with "==Problem 5== In trapezoid <math>ABCD</math>, sides <math>AB</math> and <math>CD</math> are parallel, and diagonal <math>BD</math> and side <math>AD</math> have equal length....") |
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| + | == See Also == | ||
| + | {{AHSME box|year=1981|num-b=4|num-a=6}} | ||
| + | {{MAA Notice}} | ||
Revision as of 13:31, 28 June 2025
Problem 5
In trapezoid 
, sides 
and 
are parallel, and diagonal 
and side 
have equal length. If 
and 
, then 
Solution
Draw the diagram using the information above. In triangle 
note that and , so 
Because 
we have 
Triangle 
is isosceles, so 
The answer is 
-edited by coolmath34
See Also
| 1981 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 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 | ||
| All AHSME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
