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You should be able to solve this (pg. 11)
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| Masonious |
| quote: | Originally posted by mezzir
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slightly concave hypotenuse on the smaller triangle |
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| bas |
| quote: | Originally posted by mezzir
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Easy :conf: |
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| Frenchie |
| They gave us that in grade 1 for brain exercise. |
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| Theresa |
| quote: | Originally posted by mezzir
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The second one has a larger angle (the left angle) to accomodate the change in shape location. However it looks the same because it is a very minor change. |
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| mezzir |
you guys are saying that, while most of you couldn't get the op's problem?
wtfffffff |
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| smakmagik |
| quote: | Originally posted by mezzir
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The snag is that these four shapes seem to form a triangle together, but it isn't a real triangle! Compute the areas of the shapes:
Yellow: 7
Green: 8
Red: 12
Blue: 5
Total: 32
Together they seem to form a triangle with an area of (5 * 13) / 2 = 32.5
In the first case, the shapes together form an area of 32, which is 0.5 less than the area of triangle they seem to form. In the second case, they form an area of 33, which is 0.5 more. So the difference in area is 1, and that's the "hole" in the second area
The tricky part is the hypotenuse of the "virtual triangle". The steepness of the hypotenuse of the red triangle is 3 / 8 (= 15/40), that of the blue one is 2 / 5 (= 16/40). So the one of the blue triangle is a very little bit steeper. You almost don't see it, especially if you draw them on a grid...or can you see it now?
MUHUHUHUHUAHAHAHAHAHHAHAHAHAHAHAHAHA |
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| Masonious |
you can see the arc better in this.
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| Theresa |
| quote: | Originally posted by smakmagik
The snag is that these four shapes seem to form a triangle together, but it isn't a real triangle! Compute the areas of the shapes:
Yellow: 7
Green: 8
Red: 12
Blue: 5
Total: 32
Together they seem to form a triangle with an area of (5 * 13) / 2 = 32.5
In the first case, the shapes together form an area of 32, which is 0.5 less than the area of triangle they seem to form. In the second case, they form an area of 33, which is 0.5 more. So the difference in area is 1, and that's the "hole" in the second area
The tricky part is the hypotenuse of the "virtual triangle". The steepness of the hypotenuse of the red triangle is 3 / 8 (= 15/40), that of the blue one is 2 / 5 (= 16/40). So the one of the blue triangle is a very little bit steeper. You almost don't see it, especially if you draw them on a grid...or can you see it now?
MUHUHUHUHUAHAHAHAHAHHAHAHAHAHAHAHAHA |
Way to copy and paste it from the site n00b. |
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| DJ Mikey Mike |
| quote: | Originally posted by mezzir
you guys are saying that, while most of you couldn't get the op's problem?
wtfffffff |
Because most people have seen that posted a million times before and remember the answer. They wouldn't have been so quick off the mark when it was originally posted. |
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| smakmagik |
| quote: | Originally posted by Theresa
Way to copy and paste it from the site n00b. |
which is why the 'evil laugh' you idiot. |
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| mezzir |
| quote: | Originally posted by DJ Mikey Mike
Because most people have seen that posted a million times before and remember the answer. They wouldn't have been so quick off the mark when it was originally posted. |
my point exactly
people don't remember how to do math, they just remember answers to colorful problems |
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