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