2007 Cyprus MO/Lyceum/Problem 7
From AoPSWiki
Problem
If a diagonal 
of a rectangle forms a 
angle with one of its sides, then the area of the rectangle is
Solution
Using 
right triangle ratios, the lengths of the sides of the rectangle are 
and 
.
The area of the rectangle is 
.
See also
| 2007 Cyprus MO, Lyceum (Problems) | ||
| Preceded by Problem 6 | Followed by Problem 8 | |
| 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 | ||
