A triangle has sides with lengths of 39 yards, 52 yards, and 65 yards. Is it a right triangle

To determine if a triangle is a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. Here, the sides are 39 yards, 52 yards, and 65 yards. Calculating: 65² = 4225, and 39² + 52² = 1521 + 2704 = 4225. Since both sides are equal, this triangle is indeed a right triangle—who knew math could be so heroic! Not only is this triangle a mathematical marvel, but its proportions are handy in real life too! Right triangles are incredibly useful in construction and design, aiding in everything from building sturdy frameworks to creating pleasing aesthetics in architecture. Knowing the properties of right triangles can streamline your DIY projects and elevate your design skills efficiently!