In the diagonals of a rhombus are
9cm
and 12 cm. find
its side
Answers
Answered by
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.
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Answered by
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Heya mate
Your answer is 7.5...
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