def is_pythagorean_triplet(a, b, c):
    """
    A Pythagorean triplet is a set of three natural numbers a < b < c for which:
    a^2 + b^2 = c^2
    Example:    3,4,5
                3^2 + 4^2 = 5^2
                9 + 16 = 25
    :param int a: first number
    :param int b: second number
    :param int c: third number
    :return bool: returns True if a,b, and c are triplets
    """

    try:
        if a < b < c:
            if (a**2 + b**2) == c**2:
                return True
            else:
                return False
        else:
            return False
    except TypeError:
        raise TypeError("Input must be positive integers")