Find the height $ h $ of a rhombus if diagonal $d_1 = 60$ and angle $\alpha = 60^o$.
Answer
$h = 30$
Explanation
To find height $ h $ use formula:
$$ \sin \left( \frac{ \alpha }{ 2 } \right) = \dfrac{ h }{ d_1 } $$After substituting $ \alpha = 30^o $ and $ d_1 = 60 $ we have:
$$ \sin \left( \frac{ 60^o }{ 2 } \right) = \dfrac{ h }{ 60 } $$ $$ \sin( 30^o ) = \dfrac{ h }{ 60 } $$ $$ \frac{ 1 }{ 2 } = \dfrac{ h }{ 60 } $$$$ h = \frac{ 1 }{ 2 } \cdot 60 $$$$ h = 30 $$This page was created using
Rhombus Calculator