We read your photo as:

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.

Mathematics

ScanSolve AI Answer

This answer stops before the end.

It was cut off when it was first written. Ask ScanSolve this question again for the full working.

Step-by-step solution

3 steps

Here are the solutions for the questions in the image.

a)

  1. Determine the magic sum for a triangle using numbers 1 to 6.

    The sum of numbers 1 to 6 is 1+2+3+4+5+6=211+2+3+4+5+6 = 21.
    In a magic triangle, each vertex number is part of two sides, and each middle-side number is part of one side. If SS is the magic sum for each side, and VV is the sum of the numbers at the vertices, then 3S=21+V3S = 21 + V.
    To make 3S3S divisible by 3, VV must be divisible by 3. The smallest possible sum for three distinct numbers from 1 to 6 (for vertices) is 1+2+3=61+2+3=6.
    If V=6V=6, then 3S=21+6=273S = 21 + 6 = 27, so S=9S = 9.

  2. Arrange the numbers 1 to 6 to achieve the magic sum.

    Place the numbers 1,2,31, 2, 3 at the vertices.
    The remaining numbers are 4,5,64, 5, 6. These will be placed in the middle of the sides.
    For a side with vertices 1 and 2, the middle number must be 9−(1+2)=69 - (1+2) = 6.
    For a side with vertices 2 and 3, the middle number must be 9−(2+3)=49 - (2+3) = 4.
    For a side with vertices 3 and 1, the middle number must be 9−(3+1)=59 - (3+1) = 5.

  3. Show the arrangement.

    The magic sum is 9\boxed{9}.
    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

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp