2007 AMC 12A Problem 10
Below is the professionally curated solution for Problem 10 of the 2007 AMC 12A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2007 AMC 12A solutions, or check the answer key.
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Difficulty rating: 1290
10.
A triangle with side lengths in the ratio is inscribed in a circle of radius What is the area of the triangle?
Solution:
Let the sides be and The triangle is right, so its hypotenuse is a diameter.
Thus giving
The area is
Thus, the correct answer is A.
Problem 10 in Other Years
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