Question

Given a parallelogram MNOP in which PN=32cm And OM=24cm . State the lengths PS and MS.

Answer 1

PN and OM are diagonals of the parallelogram

diagonals of a parallelogram bisect each other

therefore PS=SN=32/2= 16cm

and OS=SM =24/2 = 12cm

therefore PS = 16cm and MS=12cm

Answer 2

Therefore, PN = PS + SN
32 = PS + PS
32/2 = PS
PS = 16 cm
and, OM = OS + SM
24 = SM + SM
24/2 = SM
SM = 12 cm