circle inscribed triangle w/ vertices at (0,0), (4,0), (0,3)

[FWT]

A circle is inscribed inside a triangle whose vertices are at the points (0, 0), (4, 0), and (0, 3). Find the center of the circle.

I've drawn the points and found that this is a right triangle, but I don't think that helps. The center of the circle will be where the three angle-bisector lines cross, but is there an easier or faster way of doing this? Thanks.

[Martingale]

A circle is inscribed inside a triangle whose vertices are at the points (0, 0), (4, 0), and (0, 3). Find the center of the circle.

I've drawn the points and found that this is a right triangle, but I don't think that helps. The center of the circle will be where the three angle-bisector lines cross, but is there an easier or faster way of doing this? Thanks.

http://en.wikipedia.org/wiki/Incircle#Coordinates_of_the_incenter

[FWT]

the formula is way easier! thanks!