A triangle has corners at #(2 , 5 )#, #(8 ,2 )#, and #(4 ,7 )#. What is the radius of the triangle's inscribed circle?

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A triangle has corners at #(2 , 5 )#, #(8 ,2 )#, and #(4 ,7 )#. What is the radius of the triangle's inscribed circle?

1 Answer

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Answer 1 · 2018-03-09T18:26:42

r=1.13

Explanation:

enter image source here
#AB=\sqrt{6²+3²}=\sqrt{45}=3\sqrt5#
#D (14/5;23/5) #
#CD=6 \sqrt5 /5 #
#A_{ABC}=9#
#AB+BC+CD=15.94 #
#s= 7.97#
#A_{ABC}=r \cdot s#
#r=1.13#

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A triangle has corners at #(2 , 5 )#, #(8 ,2 )#, and #(4 ,7 )#. What is the radius of the triangle's inscribed circle?

1 Answer

Explanation:

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