A Very Nice Geometry Problem | You should be able to solve this! | 2 Methods

[@sorourhashemi3249]

Thanks, but easy. I dragged a line from B and make a ractangle and marked it as "b". So AB=6-b . and two equations: (6-b)^2+X^2=57.49 and b^2+X^2=81 X=7.51

[@santiagoarosam430]

EC=√(6²-5²)=√11→Si F es la proyección ortogonal de B sobre DC→ Razón de semejanza entre CFB y CED =s=9/6=3/2→ X=BF=5*s=5*3/2=15/2. Gracias y saludos.

[@petrusneacsu9858]

Why did you calculate EC? It is of no use.

[@santiagoarosam430]

@@petrusneacsu9858 Es un detritus mental no eliminado. La falta de higiene es imperdonable. Dejo ese error sin corregir para ejemplo y aviso de las generaciones futuras. Gracias por la observación. Un saludo cordial.

[@santiagoarosam430]

@@petrusneacsu9858 Es un detritus mental no eliminado. La falta de higiene es imperdonable. Dejo ese error sin corregir para ejemplo y aviso de las generaciones futuras. Gracias por la observación. Un saludo cordial.

[@ناصريناصر-س4ب]

Let h be the perpendicular projection of B on CD. Triangles Bhc and CDE are similar, hence Bh=AD=x=15/2

[@petrusneacsu9858]

What you say is method 1. See at 03:30

[@ناصريناصر-س4ب]

​@@petrusneacsu9858Yes, but I found the solution on my own.

[@paatabidzinashvili6156]

6*SinC=5, SinC=5/6, x=9*SinC, x=9*5/6=15/2

[@michaeldoerr5810]

The answer is 15/2. I have notcied that in the second methos, the square us equal to itself because two triangle areas are equal while having one side that is part of [BCD] while having a different side that is part of a subtended right angle. I hope that that is the correct explanation. And I finally learned about what makes the first method ao powerful. This is similar to yesterday's problem!!!

[@bene4090]

Gostei do segundo método, pois não é muito comum de ser utilizado, "Parabéns" I am from Brazil.

[@RealQinnMalloryu4]

(5)^2=25 6)^2=36 (9)^2=81 25+36+81}=142 180°ABCD/142=1.38 1.2^19 1.2^19^1 1.2^1^1 2^1 (ABCD x➖ 2ABCDx+1).

[@imetroangola17]

Before the apocalypse, please explain what the hell this is? 😂😂😂😂

[@yakupbuyankara5903]

X=15/2

[@giuseppemalaguti435]

X:9=5:6...x=45/6

[@hanswust6972]

Well, calculating EC is not the right path to solve the problem. 😆