Question

The length of a parallelogram is 17 cm and its width is 11cm .one of its diagonal measure 26cm.The length of the other daiagonal

Answer 1

Answer:

The length of the other diagonal is 26 cm.

Step-by-step explanation:

Length =17 cm

Breadth =11 cm

As we know that diagonals of a parallelogram is equal.

Therefore the length of the other diagonal is 26 cm.

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Answer 2

The length of the other diagonal = 12 cm.

Step-by-step explanation:

The sum of the squares of the diagonal of a parallelogram is the sum of the square of its sides.

length of a parallelogram (AB)= 17 cm

width of a parallelogram (AD)= 11 cm

length of a diagonal (DB)= 26 cm

the diagonal of a a parallelogram bisect each other

i.e,

OD = 13 cm

OB= 13 cm

then using theorem

AD²+AB²= 2AO²+ 2OD²

11²+17²= 2AO²+ 2(13)²

121+ 209= 2AO²+ 2(169)

410- 338 = 2AO²

72= 2AO²

AO²= 36

AO = √36

AO= 6cm

then , AC= 2AO= 2×6 = 12 cm

hence ,

The length of the other diagonal = 12 cm.

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