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A Magic Triangle place number 10 6 on the sides is equal find that sum. Draw and show the arrangement. Collect data, find the approximate population of 5 states write all figure in Indian System. Arrange in descending order and round each to the nearest crore.
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a)
Determine the magic sum for a triangle using numbers 1 to 6.
The sum of numbers 1 to 6 is .
In a magic triangle, each vertex number is part of two sides, and each middle-side number is part of one side. If is the magic sum for each side, and is the sum of the numbers at the vertices, then .
To make divisible by 3, must be divisible by 3. The smallest possible sum for three distinct numbers from 1 to 6 (for vertices) is .
If , then , so .Arrange the numbers 1 to 6 to achieve the magic sum.
Place the numbers at the vertices.
The remaining numbers are . These will be placed in the middle of the sides.
For a side with vertices 1 and 2, the middle number must be .
For a side with vertices 2 and 3, the middle number must be .
For a side with vertices 3 and 1, the middle number must be .Show the arrangement.
The magic sum is .
The arrangement is as follows:- Place 1 at the top vertex.
- Place 2 at the bottom-left vertex.
- Place 3 at the bottom-right vertex.
- Place 6 on the side between 1 and 2.
- Place 4 on the side between 2 and 3.
- Place 5 on the side between 3 and 1.
The sum of numbers on each side
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