Analytical Geometry Question?
Given that (-4,3) (0,0 and (x.y) forms an equilateral triangle, what is the value of x and y.
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Given that (-4,3) (0,0 and (x.y) forms an equilateral triangle, what is the value of x and y.
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O(0,0), A(-4,3), B(x,y)
∵ OB = OA
∴ OB² = OA²
∴ x² + y² = 4² + 3² ... OR ... x² + y² = 3² + 4²
∴ x² = 4², y² = 3² ... OR ... x² = 3², y² = 4²
∴ x = ± 4, y = ± 3 ... OR ... x = ± 3, y = ± 4 ...... Ans.
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