A visual proof
A square inscribed in a semicircle has 2/5 the area of a square inscribed in the circle of the same radius.
pic.twitter.com/f3hG51CYhm
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The slanted line is broken and does not have the same slope all over. This relies on deceiving the human eye, and wouldn't convince an intelligent alien exhibiting love for mathematics and superhuman sight.
But the yellow area in one shape is visually provable to not equal the other: [1] 2 x (2x3) + 2x5 + 1x3 = 25 [2] 3x8 = 24 So the visual proof is still valid as a proof of something (equality or inequality).
The proof is in the equations, the drawings are only illustrations. You can use the same tricks as here (thick lines, slightly unshapely elements) in the first image to "prove" other falsehoods.
I love how the diagonal side of the trapezoid has a slope of 2.5 while the diagonal side of the triangle has a slope of 2.666... yet putting the triangle on top of the trapezoid is magically supposed to give you a triangle
nvm, just read the link posted. thanks for the link
The second drawing is misleading. The yellow area in the second drawing is not the triangle in the first drawing. The issue is that the top accute angle cannot have a tangent of both 3/8 and 2/5.
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