Math, asked by COOKIEDOUBLE09, 7 months ago

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

Answers

Answered by hannu15102006
7

Answer:

30 cm

Step-by-step explanation:

Area of a rhombus = 240 cm²

∴ 1/2×d1×d2

240=1/2×16×d2

240=8×d2

d2=240/8=30 cm

Hope it helps

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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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