Math, asked by reshmithagmailcom, 1 year ago

in a rhombus ABCD prove that AC square + BD square is equals to 4 every square

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Answered by Ramlayaksingh3
1
Hey mate here is your answer

In ΔBOC,BC^2=BO^2+OC^2
Since BO=1/2BD,andOC=1/2AC

⇒BC^2=(1/2BD)^2+(1/2AC)^2

⇒BC^2=1/4(BD)^2+1/4(AC)^2

⇒BC^2=1/4(BD^2+AC^2)

⇒4BC^2=AC^2+BD^2

hope it helps you

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