Mathematical theorems

Mathematical theorems are proven statements that explain relationships between different concepts in mathematics. Think of a theorem as a conclusion drawn from a set of accepted rules and definitions, much like a legal ruling based on established laws. For example, the Pythagorean Theorem states that in a right triangle, the square of the length of the longest side (hypotenuse) is equal to the sum of the squares of the other two sides. Theorems provide a framework to understand mathematical truths, guiding problem-solving and advancing knowledge in various fields like physics, engineering, and economics.