Answer:
No. They cannot be the measures of the sides of a triangle.
Explanation:
Using Pythagorean Theorem (a² + b² = c²) we can find out if these measures match.
The order for a and b doesn't matter, but the measure for c does. c is the hypotenuse, the longest side of a triangle. With these measures, 10 will be the hypotenuse because it is the longest.
6² + 9² = 10² If this is true, then the measures can be sides of a triangle.
117 = 100 6 squared plus 9 squared equals 117 but 10 squared equals 100. They do not match so the answer is no.