Question

The side AB of an equilateral triangle ABC is parallel to the x-axis. Find the slopes of all its sides.

Answer 1

We know that the slope of any line parallel to x-axis is 0.

Therefore, slope of AB = 0

Since, ABC is an equilateral triangle, ∠A = 60°

Slope of AC = tan 60° = `sqrt(3)`

Slope of BC = –tan 60° = `-sqrt(3)`