Final answer:
The ratio between the hypotenuse and the base of a right triangle is 1:√2.
Step-by-step explanation:
The ratio between the hypotenuse and the base of a right triangle is 1:√2. This ratio is derived from the Pythagorean theorem, which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). Mathematically, it can be written as c = √(a² + b²). So, the ratio between the hypotenuse and the base is 1:√2.