SOLUTION: Let ABCD be a convex quadrilateral with area S square units, and let P, Q, R, and S be the midpoints of sides AB, BC, CD, and DA respectively. Find the sum of the areas of triangle

Algebra ->  Surface-area -> SOLUTION: Let ABCD be a convex quadrilateral with area S square units, and let P, Q, R, and S be the midpoints of sides AB, BC, CD, and DA respectively. Find the sum of the areas of triangle      Log On


   

Question 1062765: Let ABCD be a convex quadrilateral with area S square units, and let P, Q, R, and S be the midpoints of sides AB, BC, CD, and DA respectively. Find the sum of the areas of triangles PBQ and RDS.
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
The area under the question is   %281%2F4%29%2AS.

As a useful link, see the lesson
    - Midpoints of a quadrilateral are vertices of the parallelogram
in this site.