scheme - SICP Exercise 1.3 request for comments

Question

I'm trying to learn scheme via SICP. Exercise 1.3 reads as follow: Define a procedure that takes three numbers as arguments and returns the sum of the squares of the two larger numbers. Please comment on how I can improve my solution.

(define (big x y)
    (if (> x y) x y))

(define (p a b c)
    (cond ((> a b) (+ (square a) (square (big b c))))
          (else (+ (square b) (square (big a c))))))

Answer 1

Using only the concepts presented at that point of the book, I would do it:

(define (square x) (* x x))

(define (sum-of-squares x y) (+ (square x) (square y)))

(define (min x y) (if (< x y) x y))

(define (max x y) (if (> x y) x y))

(define (sum-squares-2-biggest x y z)
  (sum-of-squares (max x y) (max z (min x y))))