In right triangle ABC, M and N are midpoints of legs AB and BC, respectively. Leg AB is 6 units long, and leg BC is 8 units long. How many square units are in the area of triangle APC?
The area of ABC =[6 x 8] / 2 = 24 square units.
The area of ABN =[6 x 4] / 2 =12 square units.
The area of CNP =3.427 square units(using the Law of Sines?)
The area of APC =24 - [12+3.427] =8.573 square units.
Note: Cphill or hectictar: Please check this, for I have forgotten my Trig!!.