A triangle has vertices A, B, and C. Vertex A has an angle of #pi/2 #, vertex B has an angle of #( pi)/3 #, and the triangle's area is #9 #. What is the area of the triangle's incircle?
1 Answer
Mar 14, 2016
Inscribed circle Area
Explanation:
Solve for the sides of the triangle using the given Area
and angles
Use the following formulas for Area:
Area
Area
Area
so that we have
Simultaneous solution using these equations result to
solve half of the perimeter
Using these sides a,b,c,and s of the triangle, solve for radius of the incribed circle
Now, compute the Area of the inscribed circle
Area
Area
Area
God bless....I hope the explanation is useful.