Find the side $ a $ of a rhombus if diagonal $d_1 = 9$ and diagonal $d_2 = 12$.
Answer
$a = \frac{ 15 }{ 2 }$
Explanation
To find side $ a $ use formula:
$$ d_1^2 + d_2^2 = 4 \cdot a^2 $$After substituting $ d_1 = 9 $ and $ d_2 = 12 $ we have:
$$ 9^2 + 12^2 = 4 \cdot a^2 $$ $$ 81 + 144 = 4 \cdot a^2 $$ $$ 4 \cdot a^2 = 225 $$ $$ a^2 = \frac{ 225 }{ 4 } $$ $$ a^2 = \frac{ 225 }{ 4 } $$ $$ a = \sqrt{ \frac{ 225 }{ 4 } } $$$$ a = \frac{ 15 }{ 2 } $$This page was created using
Rhombus Calculator