Triangle perimeter and area

You are given the coordinates of the vertices of a triangle: $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$. Find its perimeter and area. Split the solution into functions: Leng — the distance between two points, Perim — the sum of three Leng calls, Area — Heron's formula:

$S = \sqrt{p(p - a)(p - b)(p - c)}, \qquad p = \frac{a + b + c}{2}$

A single line with six integers $x_1, y_1, x_2, y_2, x_3, y_3$ (each at most $1000$ in absolute value). The points do not lie on one line.

A single line with two numbers: the perimeter and the area, each with exactly 2 digits after the decimal point.

Each function does one job and uses the others: Area gets the sides from Leng. In the first example the sides are $3, 4, 5$: perimeter 12.00, area 6.00.