Question

Draw the right triangle $ABC$ if angle $A$ is $30$, and the hypotenuse is $2$ m. Find the longest and shortest side.

Answer 1

R.E.F image

$\angle A={30}^{\circ }$

$tan\theta =\frac{x}{y}=\frac{1}{\sqrt{3}}$

$\sqrt{3}x=y$

$sin\theta =sin{30}^{\circ }=\frac{1}{2}=\frac{x}{2}$

$\Rightarrow x=1,\therefore y=\sqrt{3}$

$\therefore$ longest side $\Rightarrow AC=2m$ shortest side $=BC=1m$