Question 20
Let $a \leq b \leq c$ be the sides of a right triangle, and let $2p$ be its perimeter. Show that
$$
p(p-c) = (p-a)(p-b) = S
$$
where $S$ is the area of the triangle.
$$
p(p-c) = (p-a)(p-b) = S
$$
where $S$ is the area of the triangle.