A triangle has corners at #(2 , 2 )#, #(1 ,3 )#, and #(6 ,4 )#. What is the radius of the triangle's inscribed circle?
1 Answer
The radius is approximately 0.54.
Explanation:
There is a formula to calculate the radius of inscribed circle based on the perimeter and area of the triangle.
If the area is
So our goal is to find area and perimeter.
First the perimeter, it is given by the distance of the points in pairs.
Lets call the three points
side between
side between
side between
The perimeter is then
The Area can be calculated with the formula
Now it is time for the initial formula