ANSWER:
6 cm
STEP-BY-STEP EXPLANATION:
When a triangle has the measurements 30-60-90, it has the following form (depending on the shortest leg):
Confirmed by the Pythagorean Theorem
[tex]\begin{gathered} \mleft(2a\mright)^2=a^2+\mleft(a\sqrt{3}\mright)^2 \\ 4a^2=a^2+3a^2 \\ 4a^2=4a^2 \end{gathered}[/tex]
Therefore:
If the value of a is equal to 3, the hypotenuse would be:
[tex]2a=2\cdot3=6[/tex]
The value of the hypotenuse is 6 cm
