A triangle has corners at #(2 , 6 )#, #(4 ,7 )#, and #(1 ,5 )#. What is the radius of the triangle's inscribed circle?
1 Answer
May 10, 2017
Simple. Find the centroid of the triangle and Measure the perpendicular distance from this point to any of the sides.
Explanation:
The centroid of the triangle can be found by the centroid formula:
On plugging values, we get:
equation of any one line can be found using the formula:
Where
On plugging in values, we get:
The formula for perpendicular distance from a point to a line is:
On plugging values, we get:
The radius of the circle is