The most efficient way of finding the answer to this question is first reducing 10-24-26 and comparing it with the first 5 combinations for right-angled triangles:
First, reduce 10-24-26 by dividing it by the GCF (greatest common factor).
10-24-26 divided by its GCF, 2, is: 5-12-13
Now comparing it with the first 5 combinations for right-angled triangles:
1) 3-4-5
2) 5-12-13
3) 7-24-25
4) 8-15-17
5) 20-21-29
As you can see, number 2 is the same as our reduced example. Therefore, we know that 10-24-26 is a right triangle.
Hope this helps!