SOLUTION: You are to construct a proof for the statement below. For each statement draw a diagram, label all points, state the �given� and �to prove� in terms of your diagram. Write a two co

Question 600215: You are to construct a proof for the statement below. For each statement draw a diagram, label all points, state the �given� and �to prove� in terms of your diagram. Write a two column proof describing each step in your reasoning and the reason why it is true.
Proof: The area of a triangle is equal to one-half the product of its perimeter and the length of the radius of a circle inscribed within the triangle. (assume for now that every triangle has such a circle).
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!

The area of the big triangle is equal to the sum of the areas of the three smaller triangles (the triangles determined by two vertices and the incenter). Hence the area A of the big triangle is

where s = (a+b+c)/2.
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