Question

Find the value of m:
3m = 5m- 8/5​

Answer 1

Step-by-step explanation:

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$</p><p> </p><p></p><p>\begin{gathered}\dashrightarrow\sf\:\:(Diagonal)^2=(Length)^2+(Breadth)^2\\\\\\\dashrightarrow\sf\:\:(BD)^2=(BC)^2+(CD)^2\\\\\\\dashrightarrow\sf\:\:(BD)^2=(24\:cm)^2+(7\:cm)^2\\\\\\\dashrightarrow\sf\:\:(BD)^2=576\:cm^2+49\:cm^2\\\\\\\dashrightarrow\sf\:\:(BD)^2=625\:cm^2\\\\\\\dashrightarrow\sf\:\:BD=\sqrt{625\:cm^2}\\\\\\\dashrightarrow\sf\:\:BD=\sqrt{25\:cm \times 25\:cm}\\\\\\\dashrightarrow\:\:\underline{\boxed{\sf BD=25\:cm}}\qquad\bigg\lgroup\bf Diagonal\bigg\rgroup\end{gathered} </p><p>⇢(Diagonal) </p><p>2</p><p> =(Length) </p><p>2</p><p> +(Breadth) </p><p>2</p><p> </p><p>⇢(BD) </p><p>2</p><p> =(BC) </p><p>2</p><p> +(CD) </p><p>2</p><p> </p><p>⇢(BD) </p><p>2</p><p> =(24cm) </p><p>2</p><p> +(7cm) </p><p>2</p><p> </p><p>⇢(BD) </p><p>2</p><p> =576cm </p><p>2</p><p> +49cm </p><p>2</p><p> </p><p>⇢(BD) </p><p>2</p><p> =625cm </p><p>2</p><p> </p><p>⇢BD= </p><p>625cm </p><p>2</p><p> </p><p> </p><p> </p><p>⇢BD= </p><p>25cm×25cm</p><p> </p><p> </p><p>⇢ </p><p>BD=25cm</p><p> </p><p> </p><p> </p><p> </p><p>⎩</p><p>⎪</p><p>⎪</p><p>⎪</p><p>⎧</p><p> </p><p> Diagonal </p><p>⎭</p><p>⎪</p><p>⎪</p><p>⎪</p><p>⎫</p><p> </p><p> </p><p> </p><p> </p><p></p><p>⠀</p><p></p><p>\therefore\:\underline{\textsf{Hence, Length of Diagonal is C) \textbf{25 cm}}}.∴ </p><p>Hence, Length of Diagonal is C) 25 cm</p><p> </p><p> .$

Answer 2

$⇢(Diagonal)2=(Length)2+(Breadth)2⇢(BD)2=(BC)2+(CD)2⇢(BD)2=(24cm)2+(7cm)2⇢(BD)2=576cm2+49cm2⇢(BD)2=625cm2⇢BD=625cm2⇢BD=25cm×25cm⇢BD=25cm⎩⎪⎪⎪⎧Diagonal⎭⎪⎪⎪⎫⇢(Diagonal)2=(Length)2+(Breadth)2⇢(BD)2=(BC)2+(CD)2⇢(BD)2=(24cm)2+(7cm)2⇢(BD)2=576cm2+49cm2⇢(BD)2=625cm2⇢BD=625cm2⇢BD=25cm×25cm⇢BD=25cm⎩⎪⎪⎪⎧Diagonal⎭⎪⎪⎪⎫⠀∴Hence, Length of Diagonal is C) 25 cm.∴Hence,LengthofDiagonalisC)25cm.</p><p>$