Question

ABCD is a rectangle and P,Q,R and S are the mid points of the sides AB,BC,CD and AD respectively.
(i) prove that PORS is a rhombus.
(ii) if the length of AC is 6cm, find the perimeter of PQRS. ​

Answer 1

Step-by-step explanation:

DS/DA=DR/DC=SR/AC. 【SAME RATIOS】

DS/DA=SR/AC

DS/2DS=SR/AC

1/2=SR/6

SR=6/2

=3cm.

PERIMETER OF RHOMBUS PQRS=4×SR=4×3=12xm