Math Olympiad | A Very Nice Geometry Problem | Find the shaded area

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[bekaluu]

Beautifully explained step by step. Appreciate it. Keep up the good work. I am sure many people are benefitting from your insightful videos such as this. Kudos!

[Emerson_Brasil]

Parabéns pelos vídeos e questões! É sempre bom divulgar uma boa matemática! 🎉🎉🎉🎉🎉

[hanswust]

Very challenging problem and quite elegant and clever solution, thanks a lot!

[marioalb]

Area of larger triangle:
A = ½(b.h+b.h) = ½.a.b.sinα
A = ½(16*6+24*8) = 144cm²
sinα = 2*144/(16+24) =3/4 =sin(180°-α)
Area of red triangle:
A = ½.a.b.sinα = ½*6*8*3/4
A = 18 cm² ( Solved √)

[giuseppemalaguti]

BFD=α..EFC=β..risultano le 2 equazioni il calcolo di α, β (troppo

[michaeldoerr]

Another reason for practice. The area is 18 units square.