could someone figure out the answer...
....excuse me, but why can't i see the .gif i attached...
Are either of those shapes actually triangles? Look carefully at the intersection of the diagonal with the grid. Or calculate the slopes of the diagonal lines.
I think Damgo is right.
If you calculate the area of the whole "triangle" you get:
Area = (1/2)*(13*5) = 32.5
However if you calculate the area of each individual piece you get:
Red: = (1/2)*(8*3) = 12
Light Green: = 8
Dark Green: = (1/2)*(5*2) = 5
Yellow: = 7
Adding these values up we get a total area of 32.
There is a contradiction here, therefore there is something fishy going on, and I think it has to do with the assumption that the apparent triangles are truly triangles.
The four shapes do not come together to make a triangle. The small triangle (dark green) is a right triangle with legs 2 and 5; the large triangle (red) is a right triangle with legs 3 and 8. They are not congruent.
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so my answer was right, yehey...
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