Find the smallest possible interger value n for which 99n is a multiple of 24

I would guess that you would need to find the Least Common Multiple (LCM) of 99 and 24 first. 

After listing out all of the multiples, you would have 792 be the LCM of 99 and 24. But since we need to find the integer value of n, in 99n (which means 99 x n), then we need to divide 792 by 99, which would be 8.

n = 8 

9514 1404 393

  see attached

Step-by-step explanation:

The table is filled in below.

To compute the square of the length of a sloped side, you need to sum the squares of the rise and the run. For example, the square of the length of 'a' in triangle F is ...

  a² = rise² + run² = 1² +2² = 1 +4 = 5

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Additional comment

When computing the slopes of the various triangle sides, you need to pay attention to the sign of the "rise" for a positive "run."

For the distance purpose here, the rise and run are squared, so their signs are irrelevant. You can treat them all as positive numbers.