functions are the foundation of the modern world view
Step-by-step explanation:
It has been said that "Insanity is doing the same thing over and over again and expecting different results." A functional relationship ensures that any given input will always result in the same output. That is a relationship that is not a function, where the same input can give different outputs, is equivalent to insanity.
Virtually all of modern science is predicated on the assumption that same inputs produce same outputs. In cases where that does not happen, we attribute the different outputs to inputs that have not yet been identified. In short, <em>functional relationships are the foundation of our view of the world</em>.
The ratios of sides in a 30°-60°-90° triangle are such that the hypotenuse (AB) is double the length of the shortest side (AC). In your triangle, AC is the hypotenuse of similar triangle ACD, which has AD as its shortest side.