2011 UNCO Math Contest II Problems/Problem 5
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Contents
[hide]Problem
Determine the area of the square , with the given lengths along a zigzag line connecting and .
Solution
We see that, due to the Pythagorean Theorem, Therefore, the side length of the square is equal to , and the area of the square is .
Note
If the Pythagorean Theorem is hard to visualize initially, try "sliding" the side lengths to form a right triangle with hypotenuse .
~megaboy6679
See Also
2011 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |