A triangle has sides with lengths of 8, 4, and 6. What is the radius of the triangle's inscribed circle?
1 Answer
Feb 13, 2016
We can use semiperimeter and Heron's formula
First, we find the semiperimeter, which is the sum of the sides divided by two.
Therefore,
Now, we can use Heron's formula to find the area, which is
We just plug in values now
which is
which is
Therefore,
Now, we can use the formula relating inradii, Area, and semiperimeter
Since we found two values, we can just plug in to find the third.
And we are done.