SOLUTION: P,Q,R and S are the midpoints of sides line AB, line BC, line CD and line DA respectively of a convex quadrilateral ABCD. If AC = 10 and BD = 12, find the perimeter of parallelogr

Algebra ->  Parallelograms -> SOLUTION: P,Q,R and S are the midpoints of sides line AB, line BC, line CD and line DA respectively of a convex quadrilateral ABCD. If AC = 10 and BD = 12, find the perimeter of parallelogr      Log On


   

Question 1013222: P,Q,R and S are the midpoints of sides line AB, line BC, line CD and line DA respectively of a convex quadrilateral ABCD. If AC = 10 and BD = 12, find the perimeter of parallelogram of PQRS.
Answer by satyareddy22(84) About Me  (Show Source):
You can put this solution on YOUR website!
Given that AC=10,BD=12
RQ is parallel to BD
=>RQ = 1/2(BD)=12/2=6
RQ=6
similarly
Ac is parallel to PQ
=>PQ = 1/2(AC)=10/2=5
PQ=5
perimeter of parallelogram PQRS=2(5+6)
=2(11)
=22