Nah, the green triangle is 5 long by 2 high, and the red triangle is 8 by 3. The slopes are similar, but switching the stacking of the shapes produces a slightly concave slope on the top arrangement, and a slightly convex slope on the bottom. I didn't calculate the difference, but I'd bet it's exactly 1 square, as is made obvious by the empty area.
You can also try counting 5 over and 2 up from the bottom left for both arrangements... On the bottom, that point is the top right of the green triangle, but the slope of the red triangle passes beneath that point for the top arrangement, which shows further that's there's more area under the slope of the bottom arrangement.
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Consider the slope of each triangle?
I looked at that, aren't they all the same?
Nah, the green triangle is 5 long by 2 high, and the red triangle is 8 by 3. The slopes are similar, but switching the stacking of the shapes produces a slightly concave slope on the top arrangement, and a slightly convex slope on the bottom. I didn't calculate the difference, but I'd bet it's exactly 1 square, as is made obvious by the empty area.
You can also try counting 5 over and 2 up from the bottom left for both arrangements... On the bottom, that point is the top right of the green triangle, but the slope of the red triangle passes beneath that point for the top arrangement, which shows further that's there's more area under the slope of the bottom arrangement.
Clear as mud?
Oh of course! I swear I was a math geek in high school, but you'd never know it now.
Haha!
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