+0  
 
0
84
1
avatar

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 12 units long. How many square units are in the area of triangle APC?

 

 Apr 21, 2022
 #1
avatar+124598 
+2

If we draw  median  BO, this will split triangle ABC into  six smaller triangles that all have the same area

 

And triangle APC will be composed of  two of these

 

So  area of APC =   (2/6)Area of ABC   = (1/3) Area of ABC  =  (12 * 6)  / 2   * (1/3)    =  12

 

cool cool cool 

 Apr 21, 2022

34 Online Users

avatar