2007 AMC 12A Problems/Problem 10
Problem
A triangle with side lengths in the ration 3 : 4 : 5 is inscribed in a circle with radius 3. What s the area of the triangle?
Solution
We can assume that it is a right triangle. If it is, then the hypotenuse is 6. Then the other legs are 24/5=4.8 and 18/5=3.6. The area is 4.8*3.6/2=(1.2)^2*6=1.44*6=8.64
