Chapter 2 - Acute Angles and Right Triangles - Section 2.1 Trigonometric Functions of Acute Angles - 2.1 Exercises - Page 54: 80

$a = 12$ $b= 12 \sqrt 3 $ $c=12 \sqrt 6$ $d=12 \sqrt 3$

The reference triangles provide ratios of the sides. As we start with the hypotenuse of a 30-60-90 triangle, we can determine its other two sides. After, we use the ratios of a 45-45-90 triangle. $2a=24$ $a=12$ $\sqrt 3 a= b$ $b=12 \sqrt 3$ $b=d$ $d=12\sqrt 3$ $c= \sqrt 2 b$ $c= 12 \sqrt 6$