A triangle has corners at #(4 ,1 )#, #(2 ,6 )#, and #(7 ,3 )#. What is the radius of the triangle's inscribed circle?
1 Answer
Radius of the Triangle's Inscribed Circle
Explanation:
A triangle has vertices at
Plot the points on a Cartesian Coordinate Plane and label them as
Measure the magnitudes of the line segments
Perimeter of the triangle
Semi-Perimeter [ s ]
Next, construct angle bisectors..
These three angle bisectors intersect at a point called Incenter.
Using the Incenter as one point and the three sides
Measure the length of these lines from the Incenter
Construct a Circle, the center being the Incenter and one of the points on the sides as the Radius.
Note that all of them have the same magnitude
We can also use the formula given below to find the magnitude of the radius.
Hence, Radius of the Inscribed circle
Hope it helps.