Find the side $ a $ of a rhombus if diagonal $d_1 = 20$ and angle $\beta = 100^o$.
Answer
Problem has no solutions.
Explanation
To find angle $ \alpha $ use formula:
$$ \alpha + \beta = 90^o $$After substituting $ \beta = 100^o $ we have:
$$ \alpha + 100^o = 90^o $$ $$ \alpha = 90^o - 100^o $$ $$ \alpha = -10^o $$The result has to be greater than zero. $ \Longrightarrow $ The problem has no solution.
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