AMC 10 Step by Step
2016 AMC 10AProblem 21P21-25~6 minPrint

Circles with centers P,QP, Q and RR , having radii 1,21, 2 and 33 , respectively, lie on the same side of line ll and are tangent to ll at P,QP', Q' and RR' , respectively, with QQ' between PP' and RR' . The circle with center QQ is externally tangent to each of the other two circles. What is the area of triangle PQRPQR ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.