A triangle has sides with lengths of 54 feet, 72 feet, and 90 feet. Is it a right triangl yes no

To determine if the triangle with sides of 54 feet, 72 feet, and 90 feet is a right triangle, you can use the Pythagorean theorem. According to this theorem, if a triangle is a right triangle, the sum of the squares of the two shorter sides should equal the square of the longest side. Here, \(54^2 + 72^2 = 2916 + 5184 = 8100\) and \(90^2 = 8100\). Since these are equal, yes, it is a right triangle! The right triangle has a special place in various fields! For instance, in architecture, ensuring stability often involves utilizing right triangles in structures. The famous Pythagorean triples (like 3-4-5) are practical for creating square corners, simplifying everything from furniture building to road design. Exciting, right?