1. The problem asks to identify which sets of three side lengths form a right triangle. 2. Recall the Pythagorean theorem: for a right triangle with sides $a$, $b$, and hypotenuse $c$, the relationship is $$a^2 + b^2 = c^2$$ where $c$ is the longest side. 3. We need to check combinations of the given side lengths to see if any satisfy this condition. 4. Check pairs with the largest side as hypotenuse: - For sides 9, 10, and 16: $$9^2 + 10^2 = 81 + 100 = 181$$ $$16^2 = 256$$ Since $181 \neq 256$, not a right triangle. - For sides 9, 17, and 24: $$9^2 + 17^2 = 81 + 289 = 370$$ $$24^2 = 576$$ Since $370 \neq 576$, not a right triangle. - For sides 10, 24, and 26: $$10^2 + 24^2 = 100 + 576 = 676$$ $$26^2 = 676$$ Since $676 = 676$, these sides form a right triangle. - For sides 16, 24, and 26: $$16^2 + 24^2 = 256 + 576 = 832$$ $$26^2 = 676$$ Since $832 \neq 676$, not a right triangle. 5. Therefore, the only right triangle is formed by sides 10, 24, and 26. Final answer: Check boxes B (10), E (24), and F (26).