Splain to Me
I can remember details about surveys I did decades ago. I could not remember my wedding anniversary. I'm happily divorced and happily still surveying.
Looks like a teaching aid to demonstrate small differences in angles.
The four figures do not form a triangle in either arrangement. Because they are close you believe him when he says they are triangles, but he is a liar. They first is a quadrilateral, the second is an eight sided figure.
Paul in PA
It actually didn't "go" anywhere. The presenter would have you believe that the smaller triangle's base = 5 units and its height = 2 units. But that's not true. While the base does equal 5, the height is 1.923076923 units, to 10 digits. The large triangle has base = 8 units, but its height is actually 3.076923077 units, again to 10 significant digits.
The two rectangular areas, where the purportedly missing piece is, actually have identical areas when the heights of the triangles are computed correctly. 1.923076923 * 8 = 3.076923077 * 5 within the limits of precision of a 12-digit calculator.
So, the "missing piece" is explained by a misrepresentation of the heights of the two triangles. The presenter should be made to cut his triangles from inch-thick, six foot by ten foot steel plate so that the rounding difference would show up.
Indeed. The differing slopes reveal the fact that the heights of the triangles can't be 2 and 3. And the slopes can't be different if the two pieces are part of the same line.
But, 3.076923077/8 = 1.923076923/5 = 5/13 = 0.3846153846.