\begin{tabular}{l} Select 3 side lengths that can form a right triangle. \\ \hline 8 centimeters \\ \hline 16 centimeters \\ \hline Submit \\ \hline\end{tabular}

To determine if three side lengths can form a right triangle, we can utilize the Pythagorean theorem, which states that for a right triangle with side lengths \(a\), \(b\), and hypotenuse \(c\), the equation \(a^2 + b^2 = c^2\) must hold true. If we take side lengths, say 8 cm, 8 cm, and 16 cm, the equation would not hold, since 8² + 8² = 128, and 16² = 256. However, if we choose 8 cm, 15 cm, and 17 cm, we find that 8² + 15² = 64 + 225 = 289, which equals 17², confirming this set forms a right triangle! Now, if we consider real-world applications of right triangles, they are everywhere! For instance, architects use right triangles to ensure the structural integrity of buildings during design. If you're crafting a ramp, you may want to ensure it forms a right triangle with the ground: a practical way to lend a smooth and safe incline that adheres to regulations!