Question

if the diagonals of parallelogram are 12cm and 16 cm find the length of the each segment of the diagonal into which they are divided state the property of parallelogram used​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

12 cm is divided into 6 cm each

16 cm is divided into 8 cm each

Step-by-step explanation:

If the diagonals of a parallelogram are 12cm and 16cm, find the length of each segment of a diagonal into which they are divided.State

the property of parallelogram used.

in the parallelogram

opposite sides are equal & parallel Let say ABCD is a parallelogram & Diagonals AC & BD intersect at O

Now comparing A AOB & ACOD

LAOB=LCOD (opposite angles)

LABO = <CDO (ad BD is cutting two ||

lines AB & CD)

Similarly ZBAO = ZDCO (ad AC is cutting two lines AB & CD)

so A AOB ACOD

AO/CO=BO/DO AB/CD

AB = CD

=> AO/CO=BO/DO = 1.

=> AO = CO & BO = DO

AO + CO = AC => AO = CO = AC/2

BO + DO = BD => BO DO = BD/2

Hence Diagonals are bisected

Diagonal 12 cm is divided into 6 cm each

Diagonal 16 cm is divided into 8 cm each

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