Question
Find the side $ a $ of a rhombus if height $h = 1\, \text{cm}$ and angle $\alpha = 60^o$.
Answer
$\dfrac{ 2 \sqrt{ 3}}{ 3 }\, \text{cm}$
Explanation
To find side $ a $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ h }{ a } $$After substituting $\alpha = 60^o$ and $h = 1\, \text{cm}$ we have:
$$ \sin( 60^o ) = \dfrac{ 1\, \text{cm} }{ a } $$ $$ \frac{\sqrt{ 3 }}{ 2 } = \dfrac{ 1\, \text{cm} }{ a } $$ $$ a = \dfrac{ 1\, \text{cm} }{ \frac{\sqrt{ 3 }}{ 2 } } $$ $$ a = \frac{ 2 \sqrt{ 3}}{ 3 }\, \text{cm} $$This page was created using
Rhombus Calculator