Math, asked by upendra9419, 11 months ago

In the diagonals of a rhombus are
9cm
and 12 cm. find
its side​

Answers

Answered by Anonymous
0

this is ur ans

Answer:

7.5 cm

Step-by-step explanation:

Given that ;

Diagonals of a rhombus are 9 cm and 12 cm.

Let AC = 9 cm and BD = 12 cm

We know that,

The diagonals of a rhombus bisect each other at right angles, i.e., 90°

Therefore,

AO = OC = 4.5 cm

BO = OD = 6 cm

Now, In ΔBOC,

BO = 8 cm

OC = 6 cm

∠BOC = 90°

Using Pythagoras theorem,

BC² = BO² + OC²

⇒ BC² = (4.5)² + 6²

⇒ BC² = 20.25 + 36

⇒ BC² = 56.25

⇒ BC = √56.25

⇒ BC = 7.5 cm

Also, we know that each side of rhombus is equal.

Hence, the length of each side of rhombus is 7.5 cm.

hope it helps

plz mark as brainliest

Answered by JayasreeRoy
0

Heya mate

Your answer is 7.5...

Hope it hêlp yøü.....

mark as brain list....

follow me......

Attachments:
Similar questions