Answer:
<u>8 units, 15 units, 17 units</u>
Step-by-step explanation:
A triangle can only be considered a right triangle if it satisfies the <u>Pythagorean Theorem</u>.
<u>Case 1 : Side lengths 8, 9, 15</u>
- 8² + 9² = 15²
- 64 + 81 = 225
- 145 ≠ 225
- Not satisfied
<u>Case 2 : Side lengths 8, 15, 17</u>
- 8² + 15² = 17²
- 64 + 225 = 289
- 289 = 289
- Satisfies condition
Therefore, she should use the side lengths <u>8 units, 15 units, 17 units</u>, as it forms a right triangle.