Question

in a parallelogram PQRS, the diagonals PR, QS intersect each other at O. if OP= 4 cm and OQ =3 cm, then determine the lengths of PR and QS.​

Answer 1

Answer:

Step-by-step explanation:

PQRS is a parallelogram where PR and SQ are diagonals.

PR and SQ bisect at O

PO=4cm and OQ=3cm

⇒ PR=2×PO=2×4cm=8cm

⇒ SQ=2×OQ=2×3cm=6cm

∴ The length of the diagonals are 8cm and 6cm

Answer 2

Given : In a parallelogram PQRS ,

diagonals intersect each other at point O

OP=4 , OQ=3

To Find :  lengths  of  PR and QS

Solution:

In a parallelogram Diagonals bisects each other

In a parallelogram PQRS  

Diagonals are PR  and QS

and intersect/bisect each other at O

=> OP = OR = PR/2    and OQ = OS  = QS/2

OP = 4

=> OR = 4

4 = PR/2

=>  PR = 8

OQ = 3

=> OS = 3

3 = QS/2

=> QS = 6

Hence PR = 8 and QS = 24

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