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Keep compareing those pictures. They make total sense :wink:
They do but only because they are a sort of optical illusion (called Simeon Triangles) and appear to follow Euclidean rules – they don’t actually do so.
The two shapes are not identical since the two triangles do not have the same slope. The picture of the triangle with the space actually has a bulge on the hypotenuse which takes up one additional square.
Put another way (and Pikey was spot on in his reply) the area of the whole shape is 32.5 (5×13 / 2). The areas of each individual triangle are 5 (2×5 / 2) and 12 (8×3 / 2). Together the areas of the two triangles amount to 17 leaving only 15.5 remaining into which to fit the two rectangular shapes. As one of them is 16 (8×2) and the other is 15 (5×3) the drawing in BOTH cases is not technically possible. In fact the drawing takes the average (15.5) of the area and divides it unequally to create the illusion.
@forumhostpb wrote:
They do but only because they are a sort of optical illusion (called Simeon Triangles) and appear to follow Euclidean rules – they don’t actually do so.
The two shapes are not identical since the two triangles do not have the same slope. The picture of the triangle with the space actually has a bulge on the hypotenuse which takes up one additional square.
Put another way (and Pikey was spot on in his reply) the area of the whole shape is 32.5 (5×13 / 2). The areas of each individual triangle are 5 (2×5 / 2) and 12 (8×3 / 2). Together the areas of the two triangles amount to 17 leaving only 15.5 remaining into which to fit the two rectangular shapes. As one of them is 16 (8×2) and the other is 15 (5×3) the drawing in BOTH cases is not technically possible. In fact the drawing takes the average (15.5) of the area and divides it unequally to create the illusion.
ZZZZZzzzzzzzzzzzzzzzzz
I bet you are fun on a date PB. Your poor wife…… ;)
:? :? :?
I wish I was has smart and bord has pb
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