Finding distance from point to line

Question

Knowing the position of 3 points($A, B, C$) , how can I get the distance from $A$ to the line $\overline {BC}$ if I know the angle?

This Wolfram reference was linked in an almost identical question. — fuglede, Jun 17 '13 at 21:38

score 1 · Accepted Answer · answered Jun 17 '13 at 21:35

1

If you have the positions as vectors, compute $\frac{|(A-B)\times (C-B)|}{|C-B|}$.

answered Jun 17 '13 at 21:35

Hagen von Eitzen

Adi Dani · Answer 2 · 2013-06-17T22:16:32.220

0

If the equation of line $BC$ is $$ax+by+c=0$$ and $$A=(x_0,y_0)$$ then $$d(BC,A)=\frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}$$

edited Jun 17 '13 at 22:16

answered Jun 17 '13 at 21:45

Adi Dani

2 Answers2