Mathematics
The side AB of an equilateral triangle ABC is parallel to the x-axis. Find the slopes of all its sides.
Straight Line Eq
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Answer
Since, AB is parallel to x-axis. It's slope will be equal to the slope of x-axis.
Slope of AB = 0.
We know that,
Angle in equilateral triangle = 60°.
So,
AC is inclined at an angle of 60° from AB so also from x-axis. (As AB || x-axis).
Slope of AC = tan 60° = .
BC is inclined at angle of (180° - 60°) = 120°.
Slope of BC = tan 120° = -.
Hence, slopes of sides of triangle ABC = 0, .
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