Question

o is any point of the PR. of parallelogram PQRS prove ar of triangle PSO equal to ar of triangle PQO

Answer 1

Answer:

it is simple

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Hi

Draw PQRS parallelogram.

Join diagonals SQ and PR.

Since diagonals of a parallelogram bosect each other.

Therefore ,M is the mid-point of PR as well as SQ.

Put O point on diagonal PR.

i) In triangle SOQ, OM is a median

Therefore

at(triangle SOM) = at(triangle QOM) ----(1)

ii) In triangle SPQ, PM is the median

Therefore

ar(triangle PSM) = at(triangle PQM) -------(2)

Adding (1) and (2) , we get

ar(triangle SOM) + ar( triangle PSM) = ar(triangle QOM) + ar(triangle PQM)

ar(triangle PSO) = ar(triangle PQO)

Hence Proved