2003 AMC 8 Problem 6
Attempt Problem 6 of the 2003 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2003 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
Given the areas of the three squares in the figure, what is the area of the interior triangle?
Answer: B
Small hint:
The square areas give the side lengths of the three squares.
Big hint:
The side lengths form a right triangle.
Solution:
The side lengths of the squares are and These lengths form a Pythagorean triple.
Therefore, the interior triangle is right. Its area is
Thus, B is the correct answer.
Problem 6 in other years
- 1985 AMC 8
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- 1987 AMC 8
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