Find the diagonal $ d_2 $ of a rhombus if side $a = 53$ and diagonal $d_1 = 56$.
Answer
$d_2 = 90$
Explanation
To find diagonal $ d2 $ use formula:
$$ d_1^2 + d_2^2 = 4 \cdot a^2 $$After substituting $ d_1 = 56 $ and $ a = 53 $ we have:
$$ 56^2 + d_2^2 = 4 \cdot 53^2 $$ $$ 3136 + d_2^2 = 11236 $$ $$ d_2^2 = 11236 - 3136 $$ $$ d_2^2 = 8100 $$ $$ d_2 = \sqrt{ 8100 } $$$$ d_2 = 90 $$This page was created using
Rhombus Calculator