Calculate the length of AD given points A(-4, 12) and D(8, -2) using the distance formula.

Step 1: Calculate the length of AD.
Given points A $(-4, 12)$ and D $(8, -2)$.
The distance formula is $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.

$$AD = \sqrt{(8 - (-4))^2 + (-2 - 12)^2}$$ $$AD = \sqrt{(8 + 4)^2 + (-14)^2}$$ $$AD = \sqrt{(12)^2 + 196}$$ $$AD = \sqrt{144 + 196}$$ $$AD = \sqrt{340}$$ $$AD = \sqrt{4 \times 85}$$ $$$$