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The numbers 1-9 sum to 45. If they are to be sum to 15 on each of three sides of a triangle, no number can be counted more than once (15*3 = 45).

That is, there are no numbers at any of the vertices.

Then there are several possible options:

1, 5, 9 along one side,

2, 6, 7 along the second

3, 4, 8 along the third.

So, if x marks the vertices

. . . . .x

. . . .1 . 2

. . .5 . . . 6

. . 9 . . . . . 7

. x . 3 4 8 . x

Q: How can numbers 1-9 add up to 15 on each side of the triangle?

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-- Find the length of one side. -- Find the length of another side. -- Find the length of the remaining side. -- Add the three numbers. -- Their sum is the perimeter of the scalene triangle.

The shortest side is opposite the smallest angle. The longest side is opposite the biggest angle. The middle length side is opposite the middle sized angle. For a triangle with sides of length a, b, and c, with c being the hypotenuse (the longest side), a2 + b2 = c2. The angles within a triangle must all add to 180o.

In total, the angles add up to 180.

A triangle always has 180 units. You would have to add up the two sides and subtract that from 180.

There's no general rule or pattern to that. The rule/pattern of the side lengths on a right triangle is: (the square of the length of the shortest side) plus (the square of the length of the medium side) adds up to (the square of the length of the longest side)

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no