Question
Find the hypotenuse $ c $ of a right triangle if leg $a = 8\, \text{cm}$ and angle $\alpha = 50^o$.
Answer
$10.4433\, \text{cm}$
Explanation
To find hypotenuse $ c $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ a }{ c } $$After substituting $\alpha = 50^o$ and $a = 8\, \text{cm}$ we have:
$$ \sin( 50^o ) = \dfrac{ 8\, \text{cm} }{ c } $$ $$ 0.766 = \dfrac{ 8\, \text{cm} }{ c } $$ $$ c = \dfrac{ 8\, \text{cm} }{ 0.766 } $$ $$ c = 10.4433\, \text{cm} $$This page was created using
Right Triangle Calculator