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

Geometric formulae, word problems, theorems and proofs, etc.
FWT
Posts: 153
Joined: Sat Feb 28, 2009 8:53 pm

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

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
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Joined: Mon Mar 30, 2009 1:30 pm
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Re: circle inscribed triangle w/ vertices at (0,0), (4,0), (0,3)

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#C ... e_incenter

FWT
Posts: 153
Joined: Sat Feb 28, 2009 8:53 pm

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

the formula is way easier! thanks!