1992 AJHSME Problems/Problem 10
Contents
[hide]Problem
An isosceles right triangle with legs of length is partitioned into congruent triangles as shown. The shaded area is
Solution
Solution 1
Because the smaller triangles are congruent, the shaded area take of the largest triangles area, which is , so the shaded area is .
Solution 2
Each of the triangle has side length of , so the area is . Because there are triangles is the shaded area, its area is .
See Also
1992 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 9 |
Followed by Problem 11 | |
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