A triangle has corners at #(2 , 4 )#, #(8 ,2 )#, and #(1 ,3 )#. What is the radius of the triangle's inscribed circle?
1 Answer
Explanation:
Introduction: Law of Cotangents
To solve this question you will need to know about the
Here is an article from Wikipedia about this law.
In brief, the states that the radius of a triangle's inscribed circle is
For a inscribed circle in a triangle with radius
You can find the proof for this law in the Wikipedia article.
Step One: Find side
Step Two: Find side
Step Three: Find side
Step Four: Find the value of
Step Five: Use the equation!
Assuming that you know how to use equations, I didn't put my working for using the equation.
Hope that makes sense!