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Assume the length of one matchstick is 1 unit.
In figure 1 we used 12 sticks to form an area of 5 square units. In figure 2 we also used 12 sticks, but this time the area is 9 square units.
How would you create an area of 3 square units using 12 sticks and not breaking any of the sticks? This one is not so easy...!
The total area of the triangle ABC:
= 1/2 X BC X AB
= 1/2 X 3 X 4
= 6 square units
The area marked "D" can easily be calculated as 3 square units.
Therefore the area marked "E":
= Area ABC - Area D
= 6 - 3
= 3 square units
Any other ideas?
= 1/2 X BC X AB
= 1/2 X 3 X 4
= 6 square units
The area marked "D" can easily be calculated as 3 square units.
Therefore the area marked "E":
= Area ABC - Area D
= 6 - 3
= 3 square units
Any other ideas?
Place three 1X1 squares one at others corner...
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close the lids... :)
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This shape when the distance between the parallel sides is 3/4 unit.
Great - hope to include answer soon!
Deletei put a 1x1 square within a 2x2 square.
ReplyDeletethe area between is 4-1=3
Yes, this is also a solution!
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