Hello people There is a geomerty problem that is confusing me. Look at the image below It's supposed that the Big triangle Area is constant and equals to the sum of the areas of the shapes inside it. when we rearranged the shapes there was an extra square !! I think that may be that the picture is somehow modified, Tell me what do you think.
Its simple Just see it. the pieces if arranged will look like that. As you can see that the hypotenuse is not a st line in any one. In the first one it is pointed inwards where the green and red meet and in the nest one it is pointed outwards at the same joining point. Niether of them are triangles. Both of them are quadrilaterrals. They have four sides but they are hard to notice because of that faint angle at the point of joining the green and red triangle. It is impossible to form a triangle with those two triangles as the angle of hypotenuse with the base of the triangles are different. That means that the pics are both different quadrilaterals so they have different area. I think I got it right. If yes then plz congratulate me. I took me some time to do it.
Yes I agree with that. After the rearrange of the two "triangles", the gradient is differ buy a little bit, being a mathematics student you have to be very precise and observant, a little missed could change the whole meaning of the question.
As I said none of the pics are triangles. they can't be as the 2 small triangles have different angle of inclination and thus cannot form a triangle. Both of them are quadrilaterals.
I think I'll have to correct my first post, see the above shapes occupy spaces in the matter of boxes. Therefore, they occupy the same dimensions(boxes) in the 2 different diagrams and I don't think that the angle of inclination will causes an "extra box" to be appeared
Put the first one on the second one inphotoshop and you will see that the extra box indeed comes from the inclination. I have not checked in photoshop but it looks clear. Try it.