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What is the radius of the circle inscribed in triangle ABC if AB = 10, AC = 17, BC = 21? Express your answer as a decimal to the nearest tenth.

 

Thanks in advance!

 Feb 28, 2018
 #1
avatar+128448 
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Here's a pic, ACG :

 

The perpendicular bisectors meet at  (7, 3.5)......this is the circle's center

 

The equation of the circle  is

(x - 3.5)^2 + ( y - 7)^2  =  3.5^2

 

So.....the radius is 3.5

 

 

cool cool cool

 Feb 28, 2018
 #2
avatar+1450 
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Thanks CPhill, unfortunately I can't see your diagram but I think i get the gist!

AnonymousConfusedGuy  Feb 28, 2018

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