AMC 10 Step by Step
Log inSign up
2019 AMC 10BProblem 16P16-20~7 minPrint
Triangles: Area & PythagoreanAngles & PolygonsSimilar & Congruent TrianglesAdd construction lines/points (drop altitudes, extend segments, connect centers)Set up the equation/formula and compute; no special trick needed

In △ABC\triangle ABC with a right angle at C,C, point DD lies in the interior of AB‾\overline{AB} and point EE lies in the interior of BC‾\overline{BC} so that AC=CD,AC=CD, DE=EB,DE=EB, and the ratio AC:DE=4:3.AC:DE=4:3. What is the ratio AD:DB?AD:DB?

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.