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An equilateral triangle has two vertices at (0,5) and (9,5). If the third vertex is in the first quadrant, what is the y-coordinate? Express your answer in simplest radical form.

 Apr 21, 2021
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An equilateral triangle has two vertices at (0,5) and (9,5). If the third vertex is in the first quadrant, what is the y-coordinate?


Hello Guest!

 

\(y=tan(60°)\cdot x+5\\ y=\sqrt{3}\cdot x+5\\ x=9/2\\ y=\sqrt{3}\cdot 4.5+5\\ \color{blue}y=12.79\)

laugh  !

 Apr 22, 2021

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