AMC 10 Step by Step
Log inSign up
2025 AMC 10AProblem 15P11-15~7 minPrint
Similar & Congruent TrianglesTriangles: Area & PythagoreanAdd construction lines/points (drop altitudes, extend segments, connect centers)Set up the equation/formula and compute; no special trick needed

In the figure below, ABEFABEF is a rectangle, AD‾⊥DE‾\overline{AD}\perp\overline{DE} , AF=7AF=7 , AB=1AB=1 , and AD=5AD=5 . What is the area of △ABC\triangle ABC ?

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.