Can you find area of the Green shaded Triangle? | GeoMethod

A full GeoMethod walk-through: Can you find area of the Green shaded Triangle. We read the figure, build the key relations step by step, and finish with the exact answer 100(2+sqrt{3}). We greatly appreciate new solutions and adaptations, including rough ideas or high-level ideas that may lead to another solution. Please share them in the comments; a sketch of the key move is enough. With the contributor's permission, GeoMethod may present, adapt, edit, publish, and monetize selected contributions while acknowledging the contributor by name or channel handle when requested. Attribution recognizes the contribution; it does not create compensation, ownership, partnership, or revenue-sharing rights. 00:00 Problem: Area[AEB] = ? 00:43 Name the green triangle 01:37 Isosceles legs 02:22 It bisects the base 03:04 First insight: Focus on the right triangle 03:47 Height = 10 over tan 15 04:29 Second insight: Rationalize the denominator 04:59 Height in exact form 05:26 Substitute base and height 06:23 Result: Area[AEB] = 100(2+√3)