Find the side $ a $ of a rhombus if area $A = 46$ and angle $\beta = 139^o$.
Answer
Problem has no solutions.
Explanation
To find angle $ \alpha $ use formula:
$$ \alpha + \beta = 90^o $$After substituting $ \beta = 139^o $ we have:
$$ \alpha + 139^o = 90^o $$ $$ \alpha = 90^o - 139^o $$ $$ \alpha = -49^o $$The result has to be greater than zero. $ \Longrightarrow $ The problem has no solution.
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