Answer: a is 4 mm, c is 8 mm
Step-by-step explanation:
the 30-60-90 triangle rule: in a right triangle with 30, 60 and 90 degree angles, the adjacent side is [tex]\sqrt{3}[/tex] the opposite side, while the hypotenuse is 2 times the opposite.
the adjacent side in this case would be 4[tex]\sqrt{3}[/tex], a is opposite, and c is the hypotenuse
divide the adjacent side by [tex]\sqrt{3}[/tex] and we have the opposite side: 4
the hypotenuse is twice the opposite side, which has a value of 4. 4 times 2 is 8, which means the value of the hypotenuse is 8 mm
