Question

KLMN is a rhombus with each side 13 cm and OK= 12 cm. find the length of the diagonals​

Answer 1

Answer: We have

s=13 cm

d

1

=24 cm

d

2​

=2

13

2

−12

2

=2

169−144

=2

25

=2×5

=10

area of rhombus=

2

1​

d

1​

×d

2

=

2

1

×24×10

=12×10

=120 cm

2

Step-by-step explanation:

Answer 2

Given:

KLMN is a rhombus with each side 13 cm and OK= 12 cm.

To Find:

find the length of the diagonals​

Solutions:

A rhombus is a parallelogram with equal sides and the opposite angles are equal to each other also the adjacent angles are equal to 180 degrees. The diagonals intersect at 90 degrees and each diagonal is equal.

In the triangle, KOL angle O is 90 degrees and KL=13cm and OK=12cm,

applying the Pythagoras theorem to find the length OL,

$KL^2=OK^2+OL^2\\13^2=12^2+OL^2\\OL=5cm$

So the length of diagonal KM is,

KM=2*OK

    =2*12

    =24cm

And the length of diagonal NL is,

NL=2*OL

     =2*5

     =10cm

Hence, the length of the diagonals is 24cm and 10cm.