AMC 10 Step by Step
Log inSign up
2009 AMC 10BProblem 20P16-20~4 minPrint
Triangle Centers & CeviansTriangles: Area & PythagoreanSet up the equation/formula and compute; no special trick needed

Triangle ABCABC has a right angle at BB , AB=1AB=1 , and BC=2BC=2 . The angle bisector of ∠A\angle A intersects side BC‾\overline{BC} at DD . What is BDBD ?

figure

Log in to save your progress.

Similar problems

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