1999 AMC 8 Problems/Problem 23
Contents
[hide]Problem
Square has sides of length 3. Segments and divide the square's area into three equal parts. How long is segment ?
Solution
Since the square has side length , the area of the entire square is .
The segments divide the square into 3 equal parts, so the area of each part is .
Since has area and base , using the area formula for a triangle:
Thus, height .
Since is a right triangle, .
Solution 2
Connect , . To satisfied the three area is equal, we have , . Thus, . .
Video Solution by CosineMethod [🔥Fast and Easy🔥]
https://www.youtube.com/watch?v=AH5_Gol2GCM
See Also
1999 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 22 |
Followed by Problem 24 | |
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All AJHSME/AMC 8 Problems and Solutions |
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