Re: Geometry
If I have a circle inscribed in a triangle that has a perimeter of 84 feet and an area of 336 square feet, what is the radius of the circle?
How do you solve this?
The radius of the inscribed circle is r = A/s where A = the area of the triangle and s = the semi-perimeter = (a + b + c)/2, a, b, and c being the three sides.
The radius of the inscribed circle may also be derived from r = ab/(a + b + c).
The radius of the inscribed circle may also be derived from the particular m and n
used in deriving a Pythagoraen Triple triangle by r = n(m - n).
If x, y, and z are the points of contact of the incircle with the sides of the triangle A, B, C, then Cx = Cy = s - c, Bx = Bz = s - b, and Ay = Az = s - a.
