Geometrical Mystery

the green and the red triangle do not have the same gradient. If you count at the end of the clip the small triangle climbs in 5 caskets to right 2 caskets up and the big one needs 8 to the right for 3 up. that's where the mystery is hidden ;-)

if you divide 5/2 and 5/3, the result is not the same, that, practicaly means, that the long line of the border triangle infact isnt straigt....sorry, but nice disscusion theme...

dude... there is no paradox. If it were, our whole geometry would fall apart. The thing is that the 2 triangles (red&green) differ from the first to the second arrangemet. They are bigger when there is no space and smaller then the space appears.
Try to put the ruller or any straight, transparent instrument along the hipotenuse (I think this is how it is spelled...) and you can see that in the 2nd demonstration the line is bend slightly and goes under the ruller (that;s why I said to find a transparent one)
Peace

i dont now if its true but it shore seems like it

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Es una ilusión. El conjunto de piezas en sí, no forman un triángulo, ya que uno de sus lados no es una recta. El área entonces no se puede determinar con A=bxh/2. Los dos triángulos que lo forman tienen ángulos diferentes. Al reorganizarse en la segunda figura pierden una porción de espacio, lo que se podría observar si se utilizara un espejo, por ejemplo.

i solved it in 2 sec!!!

the gradients are different

it's easy.you just don't put the yellow one as you did in the first time

I'm Rocco Shamoni from Chemnitz/Germany.
I produced and submited this video and I'm tryin to write all my titles, comments and everything else in english.
I want to learn a better english, so please tell me if you see mistakes or meaningless clauses.

4 solutions, all the same. Kudos.

Follow the slope up and compare the empty space in each partially filled square

cant solve it at the moment, but i guees that it has something to do with the trngles

guys its justa a ilussion ooooww where is the last part gone oooooow

The assumption here is that angle of the triangle is the same, ie it bisects the squares exactly the same in both configurations. It doesn't The difference is in the amount of space is taken up by the line cutting through each piece.