In a regular hexagon ABCDEF, AB is parallel to ED parallel to X-axis.What are the slopes of its sides?
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because side AB and DE are parellel to X-axis so, slope of these line equal slope of X-axis but slope of X-axis is zero. hence slope of AB and DE are zero .
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Answer:
The slope of its sides is √3 and - √3. Slope to the x-axis is zero.
Explanation:
- In a regular hexagon, ABCDEF, all the angles are 60 degrees.
- We can find the slopes of the hexagon by the trigonometric method.
- As we know that
- The slope of BC= tan (60°)
- tan (60°) = √3
- Now
- BC= tan (60°) = √3 = slope of EF
- Similarly,
- The slope of DC = tan (120°) = - √3 = Slope of AF
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