check the picture link below
http://www.freewebs.com/exlfsp/madtri.bmp
You will see that the pieces are the same in both triangles. Why is there an empty space?
2006-11-01 17:20:21 · 3 answers · asked by brian f 1 in Science & Mathematics ➔ Mathematics
That’s because the slope of the triangle with legs 2 and 5 is different from the slope with legs 7 and 3. Therefore, the “triangle” isn’t a real triangle. It just looks like one.
The triangles are supposed to look like a 5 by 12 triangle. But the actual area sum of the parts is only 29.5 compared to 30.
2006-11-01 17:23:39 · answer #1 · answered by Sheigh L 2 · 1⤊ 0⤋
The difference is caused by the slopes of the two triangles on top. They aren't the same. In one case it creates a concave edge (bending inward) and in the other case it creates a convex edge (bending outward). The difference between the two comes out to 1 square unit, which explains the "missing square".
2006-11-02 01:33:34 · answer #2 · answered by Puzzling 7 · 0⤊ 0⤋
The yellow triangle in the bottom one is one block smaller length wise.
2006-11-02 01:24:28 · answer #3 · answered by Tammy 2 · 0⤊ 0⤋