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

Geometric formulae, word problems, theorems and proofs, etc.
FWT
Posts: 118
Joined: Sat Feb 28, 2009 8:53 pm

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

Postby FWT » Wed Apr 22, 2009 12:48 pm

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.

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

Postby Martingale » Wed Apr 22, 2009 2:01 pm

FWT wrote: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
Posts: 118
Joined: Sat Feb 28, 2009 8:53 pm

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

Postby FWT » Wed Apr 22, 2009 3:18 pm

the formula is way easier! thanks!


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