Comprehension

In the figure, triangle ABC is equilateral. 

 

Question: 1

What are the coordinates of C ?

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Visualizing the coordinate plane is key. If a horizontal line segment starts at the origin and lies on the x-axis, its other endpoint's coordinates will simply be (length, 0).
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Question: 2

Calculate the height from A to BC.

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Memorizing the formula for the height of an equilateral triangle (h = √(3)2s) and its area (A = √(3)4s²) can save a lot of time in exams.
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Question: 3

What are the coordinates of A ?

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For an equilateral triangle with its base on the x-axis and centered around the y-axis or with one vertex at the origin, the coordinates of the top vertex are always related to the midpoint of the base and the calculated height.
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