Answer:
The hypothenuse is [tex]12\sqrt{2}[/tex] units long.
Step-by-step explanation:
The given triangle has one acute angle equal to 30°. Additionally, [tex]BC=6\sqrt{2}[/tex]
To find its hypothenuse, we just need to use the sin trigonometric reason, beacuse we have an angle and its opposite leg
[tex]sin30\°=\frac{6\sqrt{2} }{h}[/tex]
Solving for [tex]h[/tex], we have
[tex]h=\frac{6\sqrt{2} }{\frac{1}{2} } =12\sqrt{2}[/tex]
Therefore, the hypothenuse is [tex]12\sqrt{2}[/tex] units long.
