a(2)+b(2)=c(2) use the spare root button to figure it out
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In one triangle, there can only be one angle greater than 90 degrees. With that restriction, then the other two angles split the remaining 90 degrees between them. If the split is even, then the triangle is isosceles. There's nothing mysterious or special about it.
each triangle formed from the first will have angles adding up to 180
Draw a perpendicular line, then cross it with a horizontal line. Where the lines cross there are four right angles. Each angle measures 90 degrees and the total number of degrees is 360. By definition, any triangle will consist of a total of 180 degrees, no matter what the length of the legs. If the right angle consists of 90 degrees, then there cannot be another right angle in the triangle, because the 90 degrees still available must be split between the other two angles.
There can be no formula for the number of triangles within the polygon. Any triangle can be split into two by a line from one of the vertices to the opposite side. Thus the number of triangles can be increased by one by simply splitting one triangle. And then THAT triangle can be split in two, and the that one, ...
a perpendicular line.