What is the formula for the hypotenuse of a right triangle?

The formula used to calculate the hypotenuse of a right triangle is derived from the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The proper representation of this is expressed as a^2 + b^2 = c^2, where 'a' and 'b' correspond to the legs of the triangle, and 'c' is the length of the hypotenuse.

Additionally, another representation is that the length of the hypotenuse can also be found by taking the square root of the sum of the squares of the other two sides, which is indicated by the formula c = √(a² + b²). This formulation is commonly used in practical applications when calculating the hypotenuse after determining the lengths of the legs.

The first option (x^2 + y^2 = z^2) also resembles the Pythagorean theorem but is written with different variables, which further aligns with the core concept. The correct answer highlights a method to isolate and compute the hypotenuse directly.

The choice referring to x^2