Find the diagonal $ d_1 $ of a rhombus if area $A = \frac{ 3 }{ 50 }$ and diagonal $d_2 = \frac{ 3 }{ 5 }$.
Answer
$d_1 = \frac{ 1 }{ 5 }$
Explanation
To find diagonal $ d1 $ use formula:
$$ A = \dfrac{ d_1 \cdot d_2 }{ 2 } $$After substituting $ A = \frac{ 3 }{ 50 } $ and $ d_2 = \frac{ 3 }{ 5 } $ we have:
$$ \frac{ 3 }{ 50 } = \dfrac{ d_1 \cdot \frac{ 3 }{ 5 } }{ 2 } $$$$ \frac{ 3 }{ 50 } \cdot 2 = d_1 \cdot \frac{ 3 }{ 5 } $$$$ \frac{ 3 }{ 25 } = \frac{ 3 }{ 5 } \cdot d_1 $$$$ d_1 = \dfrac{ \frac{ 3 }{ 25 }}{ \frac{ 3 }{ 5 } } $$$$ d_1 = \frac{ 1 }{ 5 } $$This page was created using
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