A triangle has sides with lengths of 3 inches, 4 inches, and 5 inches. Is it a right triangle? yes no Submit

Absolutely, this triangle is a right triangle! The reason lies in the Pythagorean theorem, which states that for a triangle with side lengths \(a\), \(b\), and \(c\) (where \(c\) is the longest side), the equation \(a^2 + b^2 = c^2\) should hold true. Here, \(3^2 + 4^2 = 9 + 16 = 25\), and \(5^2 = 25\). Bingo! But wait, there's more! Right triangles are super useful in real life. They're the backbone of construction, architecture, and even navigation. For instance, carpenters often use right triangles to ensure corners are perfectly squared, ensuring structures are safe and sound. So the next time you see a triangle, remember it might just be the key to a stable bridge or nifty bookshelf!