Question 1210542
<br>
There are no such triangles.<br>
Here is a list of all the combinations of three positive integers with a sum of 10:<pre>
1, 1, 8   does not make a triangle
1, 2, 7   does not make a triangle
1, 3, 6   does not make a triangle
1, 4, 5   does not make a triangle

2, 2, 6   does not make a triangle
2, 3, 5   does not make a triangle
2, 4, 4   the triangle is not scalene

3, 3, 4   the triangle is not scalene</pre>
ANSWER: 0<br>