Pls answer 6th with full explanation
Attachments:
Answers
Answered by
0
Answer:
Step-by-step explanation:
Answered by
0
Given: O is any point on PR in parallelogram PQRS
To prove: ar(△PSO) = ar(△PQO)
Construction: Join SQ.
Proof:
Let diagonals PR and SQ intersect each other at N
∵ diagonals of a parallelogram bisect each other
∴ N is the mid - point of SQ
∵ a median of a triangle divides it into two triangles of equal area
∴ In △PQS , PN is its median
⇒ ar(△PNS) = ar(△PQN) (i)
∴ In △SQO, ON is its median
⇒ ar(△SNO) = (△QNO) (ii)
Adding (i) and (ii) , we have
ar(△PNS) + ar(△SNO) = ar(△PQN) = ar(△QNO )
⇒ ar(△PSO) = ar(△PQO)
HOPE THIS HELPS
MARK AS BRAINLIEST ^_^
Similar questions