2003 AMC 8 Problems/Problem 6
Problem
Given the areas of the three squares in the figure, what is the area of the interior triangle?
Solution
The sides of the squares are and for the square with area and , respectively. The legs of the interior triangle are and , so the area is
(note: the ab/2 area method only works because the converse Pythagorean theorem holds for the triple [5, 12, 13]. Therefore, we can find the solution this way because we know the triangle is right ~megaboy6679)
See Also
2003 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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All AJHSME/AMC 8 Problems and Solutions |
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