Tell whether the triangle with side lengths of 1 inch, 2.4 inches, and 2.6 inches is a right triangle. The triangle a right triangle.

To determine if the triangle with side lengths of 1 inch, 2.4 inches, and 2.6 inches is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the longest side (hypotenuse) should equal the sum of the squares of the other two sides. Here, the longest side is 2.6 inches. Calculating: 1. \( 2.6^2 = 6.76 \) 2. \( 1^2 + 2.4^2 = 1 + 5.76 = 6.76 \) Since both sides of the equation equal 6.76, the triangle is indeed a right triangle! Fun fact: Right triangles have been used throughout history, from the construction of the pyramids in ancient Egypt to modern architecture. Their properties make them crucial for design and engineering! If you're ever constructing something, remember to check if your triangle is a right triangle using the Pythagorean theorem! A common mistake is to misidentify the longest side, so reviewing your side lengths again before applying the theorem can save you some hassle.