Question

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

Answer 1

r=1.13

Explanation:

`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`