Math, asked by sahilgulia987654321, 2 months ago

The area of a rhombus is 240 cm square and one of the diagonals is 16 cm. Find the other diagonal.

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Answered by MrAadil
6

Here's the required answer to your question

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Answered by ExploringMathematics
2

\textbf{Given Data :}

\longrightarrow\textrm{Area of Rhombus = 240 cm$\rm{^2}$}

\longrightarrow\textrm{Length of First Diagonal (d$_1$) = 16 cm}

\rule{315}{2}

\textrm{Area of Rhombus = 1/2 $\times$ d$_1$ $\times$ d$_2$}

\longrightarrow\textrm{240 cm$^2$ = 1/2 $\times$ 16 cm $\times$ d$_2$}

\longrightarrow\textrm{240 cm$^2$ = 16/2  cm $\times$ d$_2$}

\longrightarrow\textrm{240 cm$^2$ = 8 cm $\times$ d$_2$}

\longrightarrow\textrm{d$_2$ = 240 cm$^2$ $\div$ 8 cm = 30 cm}

\boxed{\therefore\textbf{ Length of Second Diagonal (d$_2$) = 30 cm}}

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