Answer: x = 12, y = [tex]12\sqrt{3}[/tex]
Step-by-step explanation:
A 30-60-90 triangle has sides whose lengths are related. (shown in the diagram attached) The longest side, the hypotenuse (opposite the right angle) represents 2x. The shortest side is x, and the last side is [tex]x\sqrt{3}[/tex].
We know the longest side = 24 = 2x.
If the shortest side is x, that means that the shortest side = the longest side DIVIDED by 2. Therefore, shortest side = x = 24/2 = 12 .
The last side is y and equals x\sqrt{3} . We now know that x = 12. Hence, y = [tex]12\sqrt{3}[/tex].
