Question
Find the area $ A $ of a rhombus if side $a = 8\, \text{cm}$ and diagonal $d_2 = 17\, \text{cm}$.
Answer
Problem has no solutions.
Explanation
To find diagonal $ d1 $ use formula:
$$ d_1^2 + d_2^2 = 4 \cdot a^2 $$After substituting $d_2 = 17\, \text{cm}$ and $a = 8\, \text{cm}$ we have:
$$ d_1 ^ {\,2} + \left( 17\, \text{cm} \right)^{2} = 4 \cdot \left( 8\, \text{cm} \right)^{2} $$ $$ d_1 ^ {\,2} + 289\, \text{cm}^2 = = 256\, \text{cm}^2 $$ $$ d_1 ^ {\,2} = = 256\, \text{cm}^2 - 289\, \text{cm}^2 $$ $$ d_1 ^ {\,2} = -33\, \text{cm}^2 $$This equation has no solution $ \Longrightarrow $ The problem has no solution.
This page was created using
Rhombus Calculator