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20 July, 07:25

In equilateral triangle rst, r has coordinates (0, 0) and t has coordinates of (2a, 0). find the coordinates of s in terms of

a. (a, 2a) (a, a?2) (a, a?3)

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  1. 20 July, 11:12
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    Refer to the diagram shown below.

    Because Δrst is equilateral, the x-coordinate is a.

    Let h = the y-coordinate of s.

    Apply the Pythagorean theorem to obtain

    h² = (2a) ² - a² = 3a²

    h = a√3

    Answer:

    The coordinates of s are (a, a√3)
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