In a 30-60-90 triangle: the side opposite of the 30 degree angle has a length of "b" the side opposite of the 60 degree angle has a length of "b√3" the side opposite of the 90 degree angle has a length of "2b"
The given value of 8 is opposite of the 90 degree angle, so 8 = 2b → 4 = b Now, plug in 4 for b to determine the lengths of the other sides.
s is the side opposite of the 30 degree angle which has a length of "b" so, s is 4
q is the side opposite of the 60 degree angle which has a length of "b√3" so, q is 4√3
You can always match 4 points using a cubic polynomial. A graphing calculator can find a cubic regression equation for you. This set of points is matched by .. y = x^3 +3x^2 +5x +3