Math, asked by Saumyanu950, 4 months ago

A parallelogram PQRS has two diagonals PR and QS are 20 cm and 28 cm respectively. The diagonals PR and QS bisect at point O . find the length of PO and QO

Answers

Answered by HimaliMohanty
6

Answer:

GIVEN :- In diagonals PR and PQ, O is the mid point of PR and PQ (since PR and PS bisect at point O) and PR = 20 cm and QS = 28cm

Therefore, in diagonal PR,

PO = OR

therefore, PO + OR = PR

=>PO + PO = PR (since PO = OR)

=>2PO = PR

=>2PO = 20cm (since PR = 20cm)

=>PO = 10cm

Now, in diagonal QS,

QO = OS

therefore, QO + OS = QS

=>QO + QO = QS (since QO = OS)

=>2QO = QS

=>2QO = 28 cm (since QS = 28cm)

=>QO = 14cm

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