## Solution to the triangle puzzle

Source: http://redd.it/u192a

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1. The two big triangles are not the same. The red triangle has a slope of 3/8 but the teal triangle has a slope of 2/5. This means the “hypotenuse” of the big triangle is not a straight line. It bulges in in the first big triangle then bulges out in the second big triangle to make room for the extra space.

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2. http://www.geogebratube.org/student/m10359

Go here for an interactive version of this triangle which makes it much easier to see what’s going on.

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3. In other words, the 1st large triangle is not a triangle at all. What appears to be the hypotenuse of a right triangle is, in fact, two sides of a quadrilateral. They just happen to meet at an angle of 181.2º – so close to 180º that it’s indistinguishable to the eye. I love it.

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