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

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Question

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

Sum

Solution

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)`

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Chapter 14: Equation of a Line - Exercise 14 (B) [Page 191]

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Selina Mathematics [English] Class 10 ICSE
Chapter 14 Equation of a Line
Exercise 14 (B) | Q 13 | Page 191

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