Question

In Parallelogram ABCD point O is mid point of diagonal BD. If DQ = 10 DB = 16 then PQ = ?​

Answer 1

Answer:

refer the attached file

Answer 2

ABCD is a parallelogram

$\frac{area \: of \: efd}{area \: of \: adb} = \frac{ \frac{1}{2} \times df \times \times eq } { \frac{1}{2} \times ad \times bp}$

.E is the midpoint of BD.E is joined to F,where FD= 1/3

DA Draw BP⊥AD and EQ⊥AD

BP∥EQ

In BPD,

E is the midpoint of BPandEQ∥BP

Q is the midpoint of BD

EQ= 1/2 BP

Area of ABD= 1/2∗AD∗BP

AreaofEFD= 1/2 ∗DF∗EQ

The ratio is 1:5