The diagonals of the rhombus PQRS intersects at point O. IF OA = 4cm and OB = 3 cm, find the length of the diagonals AC and BD. Also find the side of rhombus ABCD
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Answered by
4
Answer:
According to quesion,
AB=10, BD=16
From figure,
AO+OC=AC
& AO=OC
=> 2AO=AC
In △AOB, from pythagorous
AB2=AO2+BO2
=> 100=64+AO2
=> AO=6
Since, AC=2OA,
Hence, AC=12cm
Answered by
1
Step-by-step explanation:
According to quesion,
AB=10, BD=16
From figure,
AO+OC=AC
& AO=OC
=> 2AO=AC
In △AOB, from pythagorous
AB
2
=AO
2
+BO
2
=> 100=64+AO
2
=> AO=6
Since, AC=2OA,
Hence, AC=12cm
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